Sixty-nine percent of U.S. college graduates expect to stay at their first employer for three or more years. you randomly select 18 U.S. college graduates and ask them whether they expect to stay at their first employer for three or more years. Find the probability that the number who expect to stay at their first employer for three or more years is (a) exactly 10, (b) less than 7 and (c) at least 15. Identify any unusual events. Explain.The per capita disposable income for residents of a U.S. city in a recent year is normally distributed, with a mean of about $44,000 and a standard deviation of about $2450. (a) Find the probability that the disposable income of a resident is more than $45,000. Is this an unusual event? Explain. (b) Out of 800 residents, about how many would you expect to have a disposable income of between $40,000 and $42,000? (c) Between what two values does the middle 60% of disposable incomes lie? (d) Random samples of size 8 are drawn from the population and the mean of each sample is determined. Is the sampling distribution of sample means normal distributed? Explain.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Sixty-nine percent of U.S. college graduates expect to stay at their first employer for three or more years. you randomly select 18 U.S. college graduates and ask them whether they expect to stay at their first employer for three or more years. Find the probability that the number who expect to stay at their first employer for three or more years is (a) exactly 10, (b) less than 7 and (c) at least 15. Identify any unusual events. Explain.
The per capita disposable income for residents of a U.S. city in a recent year is normally distributed, with a mean of about $44,000 and a standard deviation of about $2450.

(a) Find the probability that the disposable income of a resident is more than $45,000. Is this an unusual event? Explain.

(b) Out of 800 residents, about how many would you expect to have a disposable income of between $40,000 and $42,000?

(d) Random samples of size 8 are drawn from the population and the mean of each sample is determined. Is the sampling distribution of sample means normal distributed? Explain.

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