Use Binomial Distribution to solve problem 3 3. If 40% of employees in the company data base are female, and 10 employees are randomly chosen to serve on a committee, what is the probability that: a) Four women will be selected. P(X = 4) = b) No women will be selected. P(X=0) = c) One or more women will be selected. P(X≥1)=

Use Binomial Distribution to solve problem 3 3. If 40% of employees in the company data base are female, and 10 employees are randomly chosen to serve on a committee, what is the probability that: a) Four women will be selected. P(X = 4) = b) No women will be selected. P(X=0) = c) One or more women will be selected. P(X≥1)=

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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12. Side effects Even if an experiment is double-blind, the blinding might be compromised if side effects of the treatments differ. For example, suppose researchers at a skin-care company are comparing their new acne treatment against the leading competitor. Fifty subjects are assigned at random to each treatment, and the company's researchers will rate the improvement for each of the 100 subjects. The researchers aren't told which subjects received which treatments, but they know that their new acne treatment causes a slight reddening of the skin. How might this knowledge compromise the blinding? Explain why this is an important consideration in this experiment.
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Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 103 people in the 18-21 age bracket and finds that 87 of them respond and 16 refuse to respond. When 267 people in the 22-29 age bracket are contacted, 235 respond and 32 refuse to respond. Assume that 1 of the 370 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who responds. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. P(22-29 or responds) =
17. According to the results of a recent survey, 10% of the teenagers in a city are habitual smokers. Now 20 teenagers are selected randomly and independently from the city. (b) Find the probability that exactly 18 teenagers in the sample are not habitual smokers. Teacher's Solution is: 18 non-habitual smokers = 20 – 18 = 2 habitual smokers P(X = 2) = 20C2(0.1)2(0.9)18 = 0.2852 Is the answer wrong? The probabiity that the soluion shows is exactly 2 teenagers in the sample are habitual smoker? But not the probabiity that exactly 18 teenagers in the sample are not habitual smoker?
1. c) southwestern variable. True False The daily fuel consumption by a fleet of buses serving a large city is an example of a discrete random
Suppose that a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organization is about to take a simple random sample of voters and will use the sample proportion to estimate p. Suppose that the polling organization takes a simple random sample of 500 voters. What is the probability that the sample proportion will be greater than 0.5?
A large insurance company indicates that 78% of the policy holders have at least one health issues and 22% do not health issues. Let Y1 be a random variable defined as Y1 = 0, if the policy holder does not have any health issues; Y1 = 1, if the if the policy holder have health issues. Write the probability distribution of Y1, E(Y1) and Var(Y1).
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 94 people in the 18-21 age bracket and finds that 80 of them respond and 14 refuse to respond. When 265 people in the 22-29 age bracket are contacted, 241 respond and 24 refuse to respond. Assume that 1 of the 359 people is randomly splected. Find the probability of getting someone in the 22-29 age bracket or someone who refused to respornd. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. P(22-29 or refused) % %3D (Hint: It might be helpful to organize the data into a table first.) Question Help: Written Example Message instructor Submit Question Jump to Answer
There are declining levels of cooperation among persons contacted in surveys and this brings concerns to pollsters. A pollster contacts 92 people in the 18-21 age bracket and finds that 78 of them respond and 14 refuse to respond. When 276 people in the 22-29 age bracket are contacted, 259 respond and 17 refuse to respond. Assume that 1 of the 368 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who agreed to respond. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. prob = Question Help: M Mes
4. A large insurance company indicates that 78% of the policy holders have at least one health issues and 22% do not health issues. Let Y1 be a random variable defined as Yı = 0, if the policy holder does not have any health issues; Yı = 1, if the if the policy holder have health issues. Write the probability distribution of Y1, E(Y1) and Var(Y1).
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Suppose we know that at a University XYZ that 30% of students receive an A in their introductory statistics class, 30% receive a B, 20% receive a C, 10% receive a D, and 10% receive an F. For comparison, a sample of 300 students at University ABC is taken and 20% received an A, 28% received a B, 26% received a C, 15% received a D, and the remaining students failed the class. When testing (at the 5% level of significance) whether the proportions between the two universities are different, what is the null and alternative hypotheses