Question

Heights of 13 year old males in the USA are normally distributed with a mean of...

Heights of 13 year old males in the USA are normally distributed with a mean of 60 inches and a standard deviation of 2 inches.

Find the probability that a randomly selected 13 year old male in the USA has a height more than 58 inches.

(Write your answer as a decimal number, rounded to the nearest hundredth)

Heights of 13 year old males in the USA are normally distributed with a mean of 60 inches and a standard deviation of 2 inches.

Find the probability that a randomly selected 13 year old male in the USA has a height between 57 and 61 inches.

(Write your answer as a decimal number, rounded to the nearest hundredth)

Heights of 13 year old males in the USA are normally distributed with a mean of 60 inches and a standard deviation of 2 inches.

Find the height for the 90th percentile of 13 year old males in the USA.

Round your answer to the nearest tenth of an inch(one decimal place.)

Heights of 13 year old males in the USA are normally distributed with a mean of 60 inches and a standard deviation of 2 inches.

Find the height of the shortest 15% of 13 year old males in the USA.

Round your answer to the nearest tenth of an inch(one decimal place.)

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Answer #1

mean = 60, sd = 2

Hence, 0.84 is the answer of this.

Hence, 0.62 is the answer of this.

c) For 90th percentile z = 1.28

Hence, 62.6 is the answer of this.

d) For shortest 15% z = -1.04

Hence, 57.9 is the answer of this.

Please comment if any doubt. Thank you.

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