Tuesday

March 3, 2015

March 3, 2015

Posted by **CM** on Wednesday, October 28, 2009 at 2:40am.

a. One dormitory suite holds six first-year students. What is the probability that at least four of those students return for their sophomore year?

b. Suppose that this college admits 500 new first-year students every year, and has had a retention rate of 75% for a long time. What is the mean number of students who return for their sophomore year? What is the standard deviation for this number?

c. What is the probability that, in a given year, no more than 350 first-year students return for their sophomore year?

d. Suppose that in a given year, 410 students return for their sophomore year. Is this unusually high? Explain your answer.

- Stats Anyone? -
**CM**, Wednesday, October 28, 2009 at 2:44ama) One dormitory suite holds 6 first year students. what is the probability that at least four of those students return for their sophomore year?

b) suppose that this college admits 500 new first-year students every year and has had a retention rate of 75% for a long time. what is the mean number of students who return for their sophomore year? what is the standard deviation for this number?

c)what is the probability that in a given year no more than 350 first year students return for their sophomore year?

d)Suppose that in a given year, 410 students return for their sophomore year. is this unusually high? explain your answer.

Please help, I really have no idea, this stuff confuses me.

- Stats Anyone? -
**economyst**, Wednesday, October 28, 2009 at 1:00pmFor a) you could calculate directly, or you could use a poisson distribution function. Let me calculate directly.

The probability that exactly n return is 6-choose-n * .75^n * .25^(6-n)

P(all) = .75^6 = .1720

P(5) = 6*(.75^5)*.25 = .3540

P(4) = ((6*5)/2)*(.75^4)*(.25^2) = .2966

So P(6,5,or4)=.1720+.3540+.2966=.8226

b) the for a binominal, the:

SD = sqrt(n*p*q) = sqrt(500*.75*.25) = 9.68

So, the expected mean is .75*500 = 375 with a SD of 9.68

c) 350 is 25 from the mean or 25/9.68 = 2.58. Looking up this value in a standard normal distribution table is .9951 Ergo, the probability of no more than 350 is 0.0049 or 0.49%

d) take in from here, follow the same logic as in c)

**Answer this Question**

**Related Questions**

STATS HELP - Freshman-sophomore retention rate (FSRR) for a college is the ...

math 127 - In 2008 ACT,Inc reported that 74% of 1500 randomly selected college ...

statistics - Conduct a chi square analysis to determine whether sex and year in ...

English - 1. He got into college last year. 2. He went into college last year. 3...

math - College is expected to cost $150,000 per year in 18 years, how much ...

Career Planning - Tom wants to find out more information about colleges he might...

Stats - Suppose that you are given the following information about the freshman ...

College Algebra - Tina invested $30,000 in a stock. In the first year, the stock...

Deciding on a H.S. Science Course - I'm currently a sophomore, and I need to ...

stats help! - thank you in advance! in a given year the college admissions ...