1. As described in a previous problem, height in the male population is normally distributed with a mean height of 5–11 (71 in.) and a standard deviation of 4 in. 1.1.If I randomly selected 9 men from the population, what is the probability that I would have a collection of 9 men over 6 ft tall? . display(1-normal(72-71)/4))^9 .00026987 1.2.If I randomly selected 9 men from the population, what is the probability that I would have a collection of 9 men whose average height is over 6 ft tall? 1-.773 =.227 1.3.What is the chance that the average height of randomly selected 16 men is shorter than 68 in? z=-3 .0013

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1. As described in a previous problem, height in the male population is normally distributed
with a mean height of 5–11 (71 in.) and a standard deviation of 4 in.
1.1.If I randomly selected 9 men from the population, what is the probability that I would
have a collection of 9 men over 6 ft tall?
. display(1-normal((72-71)/4))^9
.00026987
1.2.If I randomly selected 9 men from the population, what is the probability that I would
have a collection of 9 men whose average height is over 6 ft tall?
1-.773 =.227
1.3. What is the chance that the average height of randomly selected 16 men is shorter than 68
in? z=-3
.0013
Transcribed Image Text:1. As described in a previous problem, height in the male population is normally distributed with a mean height of 5–11 (71 in.) and a standard deviation of 4 in. 1.1.If I randomly selected 9 men from the population, what is the probability that I would have a collection of 9 men over 6 ft tall? . display(1-normal((72-71)/4))^9 .00026987 1.2.If I randomly selected 9 men from the population, what is the probability that I would have a collection of 9 men whose average height is over 6 ft tall? 1-.773 =.227 1.3. What is the chance that the average height of randomly selected 16 men is shorter than 68 in? z=-3 .0013
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