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Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III
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Solution: Life Expectancy The probability that a randomly

Chapter 10, Problem 18AYU

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QUESTION:

Problem 18AYU

Life Expectancy The probability that a randomly selected 40-year-old female will live to be 41 years old is 0.99855 according to the National Vital Statistics Report, Vol. 56, No. 9.

(a) What is the probability that two randomly selected 40-year-old females will live to be 41 years old?

(b) What is the probability that five randomly selected 40-year-old females will live to be 41 years old?

(c) What is the probability that at least one of five randomly selected 40-year-old females will not live to be 41 years old? Would it be unusual if at least one of five randomly selected 40-year-old females did not live to be 41 years old?

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QUESTION:

Problem 18AYU

Life Expectancy The probability that a randomly selected 40-year-old female will live to be 41 years old is 0.99855 according to the National Vital Statistics Report, Vol. 56, No. 9.

(a) What is the probability that two randomly selected 40-year-old females will live to be 41 years old?

(b) What is the probability that five randomly selected 40-year-old females will live to be 41 years old?

(c) What is the probability that at least one of five randomly selected 40-year-old females will not live to be 41 years old? Would it be unusual if at least one of five randomly selected 40-year-old females did not live to be 41 years old?

ANSWER:

Problem 18AYU

Answer:

Step1:

We have The probability that a randomly selected 40-year-old female will live to be 41 years old is 0.99855 according to the National Vital Statistics Report

a).

P(two will live to 41 years) =  P(one will live to 41 years)P(one will live to 41 years)

                                         = 0.99855

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