Question

Tompkins Associates reports that the mean clear height for a Class A warehouse in the United States is 22 feet. Suppose clear heights are normally distributed and that the standard deviation is 4 feet. A Class A warehouse in the United States is randomly selected.

(a) What is the probability that the clear height is greater than 14 feet?

(b) What is the probability that the clear height is less than 13 feet?

(c) What is the probability that the clear height is between 25 and 30 feet?

(a) P(x > 14) =

(b) P(x < 13) =

(c) P(25 ≤ x ≤ 30) =

Answer 1

This is a normal distribution question with

a) P(x > 14.0)=?
The z-score at x = 14.0 is,

This implies that

b) P(x < 13.0)=?
The z-score at x = 13.0 is,

This implies that

c) P(25.0 < x < 30.0)=?

This implies that

PS: you have to refer z score table to find the final probabilities.

Please hit thumbs up if the answer helped you