Three out of every four american adults under the age of 35 say they have eaten pizza for breakfast at some time in their life. if a random sample of 20 american adults under the age of 35 is selected, what is the probability that exactly 16 have eaten pizza for breakfast at some time in their life.

Answers

Answer 1
p = 3/4, the probability that those under the age of 35 ate pizza for breakfast.
Therefore,
q = 1 - p = 1/4, the probability of those who did not eat pizza for breakfast.
n = 20, the sample size

The probability that exactly 16 of the 20 selected have eaten pizza for breakfast is
P(16 of 20) = ₂₀C₁₆ p¹⁶ q⁴
                   = 4845*(3/4)¹⁶*(1/4)⁴
                   = 0.1897

Answer: 0.19  (or  19%)

Answer 2

The probability that exactly 16 out of 20 American adults under the age of 35 have eaten pizza for breakfast at some time in their life is approximately 0.0879.

The correct probability that exactly 16 out of 20 American adults under the age of 35 have eaten pizza for breakfast at some time in their life is given by the binomial probability formula:

[tex]\[ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \][/tex]

where [tex]\( n \)[/tex] is the number of trials (in this case, the number of adults surveyed), [tex]\( k \)[/tex] is the number of successes (the number of adults who have eaten pizza for breakfast), [tex]\( p \)[/tex] is the probability of success on any given trial (the probability of an adult having eaten pizza for breakfast), and [tex]\( \binom{n}{k} \)[/tex] is the binomial coefficient representing the number of ways to choose [tex]\( k \)[/tex] successes from [tex]\( n \)[/tex] trials.

Given that three out of every four American adults under the age of 35 have eaten pizza for breakfast, we have [tex]\( p = \frac{3}{4} \) and \( n = 20 \)[/tex]. We want to find [tex]\( P(X = 16) \)[/tex].

First, we calculate the binomial coefficient for [tex]\( k = 16 \) and \( n = 20 \)[/tex]:

[tex]\[ \binom{20}{16} = \frac{20\!}{16\!(20-16)\!} \][/tex]

Next, we plug in the values into the binomial probability formula:

[tex]\[ P(X = 16) = \binom{20}{16} \left(\frac{3}{4}\right)^{16} \left(1 - \frac{3}{4}\right)^{20-16} \][/tex]

[tex]\[ P(X = 16) = \binom{20}{16} \left(\frac{3}{4}\right)^{16} \left(\frac{1}{4}\right)^{4} \][/tex]

Now, we calculate the values:

[tex]\[ \binom{20}{16} = \frac{20\!}{16\!4\!} = \frac{20 \times 19 \times 18 \times 17}{4 \times 3 \times 2 \times 1} = 4845 \][/tex]

[tex]\[ \left(\frac{3}{4}\right)^{16} = \left(\frac{3}{4}\right) \times \left(\frac{3}{4}\right) \times \ldots \times \left(\frac{3}{4}\right) \approx 0.0044 \][/tex]

[tex]\[ \left(\frac{1}{4}\right)^{4} = \left(\frac{1}{4}\right) \times \left(\frac{1}{4}\right) \times \left(\frac{1}{4}\right) \times \left(\frac{1}{4}\right) = \frac{1}{256} \][/tex]

Finally, we multiply these values together to get the probability:

[tex]\[ P(X = 16) = 4845 \times 0.0044 \times \frac{1}{256} \approx 0.0879 \][/tex]

Therefore, the probability that exactly 16 out of 20 American adults under the age of 35 have eaten pizza for breakfast at some time in their life is approximately 0.0879.


Related Questions

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Select the best answer choice.
a.Eliot, T.S. "The Love Song of J. Alfred Prufrock." T.S. Eliot: The Complete Poems and Plays, 1909-1950. New York: Harcourt, 1967. 3-8
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A. you always cite the last name first then the first name.

Liquid dry shampoo should be used to clean what kind of wigs

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to clean human-hair wigs

Describe an advertisement you've seen that uses a desire based marketing message. What desire does this ad appeal to? (2-4 sentences.) TIP: This can be any type of ad, such as a TV commercial, a radio ad, a magazine ad, a billboard, an Internet ad, or another type of ad.

Answers

1.I once saw an advertisement for a weight loss supplement. The persons in the ad seemed to change significantly after using the product. Apart from their appearance, everything seemed to be going better for them.

Desired based marketing messages hope to give their target consumer the desire to enter a store and purchase an item. An example of a desire based marketing strategy is sales or low product pricing. Consumers always want the best deal, although price may not be the main factor for all consumers, it is a large factor in deciding what products to purchase. When a store is advertising for a sale, they are building and bringing to light a desire a consumer has to save money on an item.

Total cost can be divided into two types of costs:

Answers

Are u looking for true or false if u'r than it's
true
if u'r not then am sorry

Social mobility in the u.s. does not depend on where one starts in the class system anthropolgy

Answers

The statement above is TRUE.
Social mobility refers to the movement of individuals or families within or between social strata in a particular society. It means a change in social status relative to one's present location with a given society. Social mobility in US does not depend on where one start in the class system; one can come from the lowest class strata and become one of the richest individual and an individual from a very rich family can also end up as a p.auper. A lot of factors come to play in these situations.

A study of interior designers' opinions with respect to the most desirable primary color for executive offices showed that:

Answers

It showed that most people prefer red color in their executive offices.
Red is a primary color which most people associate with good feelings, so it's no wonder these interior designers believe it will benefit the workers in their workplace.

which type of classroom enables students to attend lectures without being physically present with the teacher

Answers

Your answer will be an online class room because when your in a online classroom your not physically there but when the teacher lecture you it sounds nice because it is more like a text and also you get to move at your own paste and you get to do nothing all day and when your in the online classroom you wont be alone the online class room allows you to chat with other classmates.

Answer: For Plato The Answer Would be "Virtual"

Explanation: The type of classroom that enables students to attend lectures without being physically present with the teacher is a virtual classroom.Virtual classrooms are online learning environments that provide students with the ability to attend lectures, participate in discussions, and complete assignments from anywhere with an internet connection.Virtual classrooms use web-based tools, such as video conferencing, online chats, and shared whiteboards, to simulate the traditional classroom experience.In a virtual classroom, students can communicate with their teachers and peers, ask questions, and receive feedback in real-time.The virtual classroom also provides students with flexibility in terms of when and where they complete their coursework, which can be especially beneficial for those with busy schedules or who live far from their school.

Securing a mortgage from a bank for a new business venture is an example of:

Answers

Final answer:

Securing a mortgage for a new business is a form of debt financing where a bank provides a loan to be repaid with interest. The bank may employ securitization to mitigate risk and may also require a cosigner or collateral.

Explanation:

Securing a mortgage from a bank for a new business venture is an example of debt financing in the realm of business. In this process, a bank, as a financial instrument, provides a loan that is to be repaid over an agreed time period with added interest. Typically, a bank may use securitization for protection, where it sells local loans and buys mortgage-backed securities based on home loans around the country to avoid any exposure to local financial risks.

From a bank's perspective, it also conducts income checks and may require either a cosigner, someone who legally agrees to repay the loan should the borrower fail to do so, or collateral, such as property or equipment that can be seized and sold by the bank to recoup the loan amount should the borrower fail to repay.

Learn more about Debt Financing here:

https://brainly.com/question/34397383

#SPJ12

An ultimate frisbee team that sets their goal of winning the northeast regional tournament is engaging in which type of goal setting?

Answers

An ultimate frisbee team that sets their goal of winning the Northeast regional tournament is engaging in OUTCOME type of goal setting.

There are three types of goal settings:
1. Outcome goals
2. Performance goals
3. Process goals

An outcome goal is a goal that is not under anyone's control. Performance goal is a goal that is achieved while process goal helps to reach the performance goal. 

The smallest unit of storage in the following list is a _____. byte nanobyte megabyte gigabyte

Answers

Nano byte is your answer.

Nano byte is 1000 kilobytes 1000  kilobytes is 1 megabyte 1000 megabytes is 1 gigabyte 1000 gigabyte is 1 terabit...

Good lluck 

From all the options available, the best answer to the blank space given would be (A) byte.

Although nanobyte might seem to be the answer, it actually does not exist as a unit of storage. The smallest unit of storage would actually be bit – bit is valued at either 1 or 0. A byte contains roughly 8 bits. One megabyte is approximately 1,024 kilobytes or 1,048,576 bytes – while one gigabyte is roughly 1,024 megabytes, which in bytes are around 1,073,741,824.

Unlike consumer-focused salespeople, business-focused salespeople:​ question 23 options: ​require customers to come directly to a retail store. ​call on other companies to sell their products. ​shorten the sales process time. ​do not travel to customer locations.

Answers

I would say that a business oriented company would require the customers to come directly to the retail store to see the merchandise and decide whether to purchase it or not as opposed to salesmen/women that go actively to businesses to demonstrate and give a sales pitch for their products. The former case would be like a furniture store for consumers whereas the latter case could be like a mine that uses industrial equipment like pumps, trucks etc.
Final answer:

Business-focused salespeople engage in B2B sales by calling on other companies to sell their products, different from retail sales which target individual consumers.

Explanation:

Unlike consumer-focused salespeople, business-focused salespeople call on other companies to sell their products. They engage in a process known as B2B (business-to-business) sales, which involves selling products or services directly to other businesses rather than the individual consumer. This approach contrasts with retail sales, where the primary focus is selling directly to individual consumers in a store or online environment. B2B salespeople are likely to have more detailed and technical knowledge of their product or service and need to understand their client's business needs to effectively make a sale. They may also foster long-term relationships and contracts, which can entail a more complex and extended sales process compared to consumer retail sales.

Burleson​, ​inc., purchased a tract of​ land, a small office​ building, and some equipment for $1,550,000. the appraised value of the land was $1,100,000​, the building $600,000​, and the equipment $300,000. what is the cost of the​ land?

Answers

To find the land cost, we first find the ratio that is the land at its appraised value. In this case, this would be (1100000/2000000), or 0.55. Then, the price of the purchase for the entire property is multiplied by this rate. This would give a land value of (1550000 * 0.55), or $852,500.

Power is divided equally among three branches of government. what do you think is the reason for this.

Answers

Power is divided between three places so that not all of the power belongs to one place. If all off the power belonged to one place, anything they decide should happen, would happen. Even if it was a bad decision.

If the power is divided, more people get a say in the laws that are being made or the things that are being done. This way, it will hopefully cut down on the number of bad decisions. It is divided so that not one group has total control of something.

Hope this helps!
I think the reason is because sure the president controls all three branches but different processes and decisions are made at each branch and that's why I think power is divides among three different branches

Baksheesh," which is an expected procedure in many developing countries, is another term for:

Answers

Final answer:

Baksheesh, also known as a bribe or tip, is an expected procedure in many developing countries. It involves giving money or gifts to someone in a position of power or authority in order to receive preferential treatment or to expedite a service. Baksheesh is often seen as a way to navigate through daily life in these countries where official systems may be inefficient or corrupt.

Explanation:

Baksheesh, also known as a bribe or tip, is an expected procedure in many developing countries. It involves giving money or gifts to someone in a position of power or authority in order to receive preferential treatment or to expedite a service. Baksheesh is often seen as a way to navigate through daily life in these countries where official systems may be inefficient or corrupt.

For example, in Kenya and some African countries, people use mobile banking apps like Mpesa to transfer money and pay bills, bypassing the need for traditional banking systems. This is a form of informal practice similar to baksheesh, which allows people to access financial services that may not be readily available.

Loan sharking is another practice related to baksheesh, where money is lent at high interest rates with illegal methods used to obtain repayment. This can perpetuate a cycle of debt and exploitation for those who cannot access formal lending options.

When firefighters local 48 negotiates directly and only with its employers for better work conditions and terms of employment so that each firefighter doesn't need to negotiate individually, it is called ________?

Answers

Collective bargaining. This is done so that a fair agreement as to wages and employee safety can be reached. The theorem behind allowing such collective negotiation is that, where the advantage would clearly lie with the employer if at the bargaining table with each foreman individually, collectively they are able to make demands that will be heard by the employer, as failure to meet these demands or at least to compromise could lead to a serious and problematic labor dispute.

As a manager tim has realized that active listening is important because

Answers

As a manager, Tim has realize that active listening is important because IT INVITES OTHERS TO LISTEN TO YOU.
Active listening involves carefully concentrating on what is been said by the other person, it involves listening will all of one's senses. Actively listening to others make others to listen when one is talking.

Tools, buildings, and labor are examples of _____.

Answers

Construction men maybe not 100 percent sure

Gayla tells frank that she will pay him $50 to haul the trimmed tree limbs and other lawn debris from her property. franco’s acceptance is complete​d when

Answers

Gayla tells Frank that she will pay him $50 to pull out the cut tree limbs and other lawn debris from her property. Franco’s acceptance of the project  is completed when he signs  the formal acceptance document to be issued by Gayla

What steps are recommended for creating a successful person budget?

Answers

1. List your expenses
2. Separate your wants and needs
3. Make sure your expectations are realistic
4. Consider buying budgeting software
5. Get your family on board
I hope this helps :)

1. Calculate expenses

2. Determine your income

3. Set savings and debt payoff goals

4. Record spending and track progress

5. Be realistic

Frank owes anderson $500. frank is the obligor. anderson, as the obligee, assigns the right to receive the $500 to his daughter jemma. jemma is now:

Answers

Frank owes Anderson $ 500. Frank is the obligor. Anderson, as the obligee, assigns the right to receive the $500 to his daughter Jemma. Jemma is now the assignor and cannot enforce the contract against Frank.
Assignor refers to the company or a person that transfers a property or right to someone else.

Strategic mgmt the two best reasons for investing company resources in vertical integration (either forward or backward are to

Answers

add materially to a company's technological capabilities, strengthen the company's competitive position, and/or boost its profitability.

The top reasons for vertical integration are to increase profitability through reduced haggling and double marginalization, and to diminish risk by securing supply chains against the uncertainty of supplier or buyer behavior.

The two best reasons for investing company resources in vertical integration, either forward or backward, are improved profitability and risk reduction. By controlling more stages of the value chain, a firm can reduce haggling over prices and conditions, potentially mitigating the issue of double marginalization and increasing overall profit margins. Moreover, vertical integration aids in risk mitigation by securing supply chains and reducing dependency on external suppliers and buyers, thus safeguarding against disruptions in the continuity of operations.

Historically, firms have aimed to build a sustainable advantage through dominance in all the business's value-creating activities. Vertical integration has been a strategy to establish barriers to entry, streamline manufacturing, and maintain strategic flexibility while fostering growth, reducing costs, and facilitating innovation. However, companies must also manage the inherent risks associated with these integrations, like adverse selection and the free rider problem.

Lucky owns mud flats ranch, which is situated on certain nevada acreage. the exterior boundaries of the land extend

Answers

False, It is real property

Was the tea act a direct or indirect tax

Answers

The tea act is an indirect tax
Tea act put an amount of tax for every goods and products that being sold by the American colonist, which displayed every characteristic of an indirect tax.
If the tax is categorized as a direct tax, the tax is based on percentage of profit, not the product itself.

Purchases that have substantial social or economic consequences: question 13 options: represent routine purchases that pose little risk. represent high-involvement purchase decisions.

Answers

Purchases that have substantial sociale or economic consequences represent high-involvement purchase decisions because they require a deep scrutiny phase where positive consequences are compared with negative ones to understand if benefits outweigh losses and are desirable for society.

Answer:

onche degendas levedga pinche gordtho

Explanation:

Jillian is mapping her co-worker's decision-making process. she puts a few words in braces alongside a shaded rectangle. what does the use of the braces signify about the words the braces enclose?

Answers

The use of braces explains the meaning of the words preceding the brace. Here Jillian actually mapping her co-worker's decision-making process so the braces probably contain decisions made on some circumstances. The circumstances may be given outside the brace.

Final answer:

Jillian uses braces in her co-worker's decision-making process map to provide additional information or remarks about the words enclosed by them, enabling her to note detailed aspects without overwhelming the diagram.

Explanation:

Jillian is mapping her co-worker's decision-making process by visualizing it with various symbols and annotations. One of the symbols she uses is braces. The use of braces in this context often signifies additional information or remarks that provide further clarification to the item they enclose.

This practice allows Jillian to include detailed thoughts or comments without cluttering the main decision-making matrix. This method can also be seen in various types of documentation, such as grammar, where braces are used to group items or in visual rhetoric, where they may indicate side notes or call-out boxes.

By placing words in braces alongside a shaded rectangle, Jillian can emphasize important factors that influenced her co-worker's decisions or highlight areas for potential further exploration.

Economists agree that ________________ inflation reduces real output.

Answers

Answer:  "cost-push" .
__________________________________

what is a financial plan ?

Answers

A financial plan is a comprehensive evaluation of an investor's current and future financial state by using currently known variables to predict future cash flows, asset values and withdrawal plans.
in my own words, it making/discovering a plan for the future on how your going to get money/ your income

You are a member of the marketing team at the dannon company, inc. the company makes a variety of yogurt products including one called oikos greek yogurt. your team is currently considering making some packaging changes to the product. the potential package modifications have been narrowed down to a list of four. choose the option from the drop down menu that would best complete each passage: as you add new oikos variations, if you maintain the look of the packaging, especially the blue background and the columns, then you are using packaging. when you create a re-closable plastic package that buyers can use for food storage at home or at work it is called packaging. because can be a major factor in purchase decisions, yogurt manufacturers like oikos don't stray far from the circular design of their packaging, which most easily accomodates a spoon.

Answers

The correct option is this: WHEN YOU CREATE A RE CLOSABLE PLASTIC PACKAGE THAT BUYERS CAN USE FOR FOOD STORAGE AT HOME OR AT WORK, IT IS CALLED PACKAGING.
Packaging refers to the technology of enclosing and protecting products for distribution, storage, sale and use. It also refers to the process of designing, evaluating and producing packaging for a particular product.

The mountains of the greater antilles were of little commercial value because

Answers

The mountains of the Greater Antilles were of little commercial value because the mountains have not yet enough products to offer. But sooner, there will be a promotion of crops like tobacco, coffee or sugar, which will increase the commercial value of the mountains of Greater Antilles. 

Stefan page company reports net sales of $700,000, gross profit of $300,000, and net income of $216,000. what are its operating expenses?

Answers

264,000 is your answer hope it helped 

Other Questions
When certain kinds of chemicals are combined, the rate at which the new compound is formed is modeled by the autonomous differential equation dX/dt = k(a-X)(B-X) where k > 0 is a constant of proportionality and B > a > 0. Here X(t) denotes the number of grams of the new compound formed in time t. (a) Use a phase portrait of the differential equation to predict the behavior of X(t) as t -> infinity. (b) Consider the case when a = B. Use a phase portrait of the differential equation to predict the behavior of X(t) as t -> infinity when X(0) < a. When X(0) > a. (c) Verify that an explicit solution of the DE in the case when k=1 and a=B is X(t)=a-1/(t+c). Find a solution that satisfies X(0) = a/2. Then find a solution that satisfies X(0)=2a. Graph these two solutions. Does the behavior of the solutions as t->infinity agree with your answers to part (b)? 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