# Exam P Practice Problem 45 – Heights of Male Students

Problem 45-A

Heights of male students in a large university follow a normal distribution with mean 69 inches and standard deviation 2.8 inches.

Five male students from this university are randomly selected.

What is the probability that the shortest student among the five randomly selected students is taller than 5 feet 5 inches?

Note that one feet = 12 inches.

$\displaystyle A. \ \ \ \ \ \ \ \ \ \ (0.0764)^5$

$\displaystyle B. \ \ \ \ \ \ \ \ \ \ 0.0764$

$\displaystyle C. \ \ \ \ \ \ \ \ \ \ 0.3279$

$\displaystyle D. \ \ \ \ \ \ \ \ \ \ 0.6721$

$\displaystyle E. \ \ \ \ \ \ \ \ \ \ 0.9236$

The answers are based on this normal table from SOA.

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Problem 45-B

Heights of male students in a large university follow a normal distribution with mean 69 inches and standard deviation 2.8 inches.

Ten male students from this university are randomly selected.

What is the probability that the tallest student among the ten randomly selected students is shorter than 6 feet 2 inches?

Note that one feet = 12 inches.

$\displaystyle A. \ \ \ \ \ \ \ \ \ \ (0.0367)^{10}$

$\displaystyle B. \ \ \ \ \ \ \ \ \ \ 0.0367$

$\displaystyle C. \ \ \ \ \ \ \ \ \ \ 0.3120$

$\displaystyle D. \ \ \ \ \ \ \ \ \ \ 0.6880$

$\displaystyle E. \ \ \ \ \ \ \ \ \ \ 0.9633$

The answers are based on this normal table from SOA.

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The answers are based on this normal table from SOA.

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