5. [6] The most recent data from the Department of Education show that 30% * ofstudents who submitted valid applications for a Title IV Pell Grant in 2005-2006were ineligible to receive such a grant. Suppose that this result is true for thecurrent population of students who submitted valid applications for this grant.Let X be a binomial random variable that denotes the number of students in arandom sample of 20 who submitted valid applications for this grant, but wereineligible to receive one.a) Use the binomial probability distribution formula to find the probability thatexactly 6 students are ineligible to receive a Title IV Pell Grant in a random sampleof 20 who submitted valid applications for this grant. (4 decimal places)b) Find the mean and standard deviation of X.c) Use Table II to find P(4 ≤ X ≤ 12). (3 decimal places)

given data n=20, p(valid for grant) = p = 0.30 x = No. of valid for grant p(x=X) = nCx * px * qn-x…

Answered: 5. [6] The most recent data from the…

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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A European growth mutual fund specializes in stocks from the British Isles, continental Europe, and Scandinavia. The fund has over 125 stocks. Let x be a random variable that represents the monthly percentage return for this fund. Suppose x has mean H = 1.2% and standard deviation o = 1.3%. n USE SALT (a) Let's consider the monthly return of the stocks in the fund to be a sample from the population of monthly returns of all European stocks. Is it reasonable to assume that x (the average monthly return on the 125 stocks in the fund) has a distribution that is approximately normal? Explain. Yes , x is a mean of a sample of n = 125 stocks. By the central limit theorem o , the x distribution is approximately normal. (b) After 9 months, what is the probability that the average monthly percentage return x will be between 1% and 2%? (Round your answer to four decimal places.) (c) After 18 months, what is the probability that the average monthly percentage return x will be between 1% and 2%?…
Annie is concerned over a report that "a woman over age 4040 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 4040-year-old university-educated American woman was 2.9%2.9%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 516516 never-previously-wed, university-educated, American women who were single at the beginning of their 4040s and who are now 4545. Of these women, 2121 report now being married. Does this evidence support Annie’s claim, at the 0.100.10 level of significance, that the chances of getting married for this group is greater than 2.9%2.9%? Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
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