f)       P(4 < x < 8 | λ = 4.4)

Sum the result of x =5 to x = 7.

 

	x	λ	P(x)
	7	4.4	0.07778
	6	4.4	0.12373
	5	4.4	0.16873
P(4 < x < 8 | λ = 4.4)		=	0.37024

 

 

6.8

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 17 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 31 feet?

 

a) What is the probability that the clear height is greater than 17 feet?

 

            µ = 22 feet

            = 04 feet

             x > 17 feet

P(x > 17 | µ = 22 and  = 4) = ?

 

 

= = = -1.25

 

Probability value for z = 1.25 is 0.3944 + 05 = 0.8944