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# Tompkins Associates reports that the mean clear height for a Class A warehouse in the United States is 22 feet.

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 16 feet?

**(b) **What is the probability that the clear height is less than 11 feet?

**(c) **What is the probability that the clear height is between 24 and 31 feet?

**(Round the values of z to 2 decimal places. Round your answers to 4 decimal places.)**

**(a) **P(x > 16) =

**(b) **P(x < 11) =

**(c) **P(24 ≤ x ≤ 31) =