Question 19 Tompkins Associates reports thot the mean clear height for a Ciass A

Question

Question 19 Tompkins Associates reports thot the mean clear height for a Ciass A warehouse in the United States is 22 feet. Suppose dlear heights arenomaly dstributed and thet 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? (e) What is the probability that the clear height is between 23 and 30 feet? (Round the values of z to 2 declmal places. Round your answers to 4 declmal places) (a) P(x > 16) (b) P(x

Explanation / Answer

Ans:

Given that

mean=22

standard deviation=4

a)

z=(16-22)/4=-1.5

P(z>-1.5)=0.9332

b)

z=(11-22)/4

z=-2.75

P(z<-2.75)=0.0030

c)

z(23)=(23-22)/4=0.25

z(30)=(30-22)/4=2

P(0.25<z<2)=P(z<2)-P(z<0.25)

=0.9772-0.5987=0.3785

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