. Life Expectancy The probability that a randomly selected 40-year-old female wi
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Question
. 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?
Explanation / Answer
a) (0.99855)^2 = 0.997102
b) (0.99855)^5 = 0.992771
c) P(at least one) = 1 - 0.992771 = 0.007229
Since this probability is less than 0.05, it would 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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