The probability that a randomly selected ​-year-old male will live to be years old is . ​(a) What is the probability that two randomly selected ​-year-old male s will live to be years​ old? ​(b) What is the probability that randomly selected ​-year-old male s will live to be years​ old? ​(c) What is the probability that at least one of randomly selected ​-year-old male s will not live to be years​ old? Would it be unusual if at least one of randomly selected ​-year-old male s did not live to be years​ old?

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-- (a)

-- (b)

-- (c)

Step-by-step explanation:

Given

Represent the probability that a 40-year-old male lives to 41 be P(A).

So:

Solving (a): Two selected live to be 41

This event is represented as: AA and the probability is:

Solving (b): Five selected live to be 41

This event is represented as: AAAAA and the probability is:

Solving (c): At least one of five selected will not live to be 41.

In (b), we calculate the probability that all 5 lives to be 41.

When this is subtracted from 1, it gives the probability that at least one of them will not is:.

So, we have:

(c ii).

It will be unusual because the probability that at least one of the selected 5 will not live to 41 is very low.