Assume that the height of AUM male students are normally distributed with a mean of 165 cm and a standard deviation of 10 cm. a) Find the probability that a random male height is less than 162 cm. b) Find the probability that a random male height is between 164 and 166 cm. c) What are the height that only 5% of males exceed this height?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Practice Question 1:
Assume that the height of AUM male students are normally distributed with a mean of 165 cm
and a standard deviation of 10 cm.
a) Find the probability that a random male height is less than 162 cm.
b) Find the probability that a random male height is between 164 and 166 cm.
c) What are the height that only 5% of males exceed this height?
d) Find the probability that the average height of a random sample of 16 males will be less
than 165.5.
c) Find the probability that the average height of a random sample of 25 males will be
between 164.5 and 165.5.
Why we can apply CLT here?
Transcribed Image Text:Practice Question 1: Assume that the height of AUM male students are normally distributed with a mean of 165 cm and a standard deviation of 10 cm. a) Find the probability that a random male height is less than 162 cm. b) Find the probability that a random male height is between 164 and 166 cm. c) What are the height that only 5% of males exceed this height? d) Find the probability that the average height of a random sample of 16 males will be less than 165.5. c) Find the probability that the average height of a random sample of 25 males will be between 164.5 and 165.5. Why we can apply CLT here?
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