21) A normal distribution has = 28 and = 5.

(a) Find the z score corresponding to x = 23.

(b) Find the z score corresponding to x = 41.

(c) Find the raw score corresponding to z = 3.

(d) Find the raw score corresponding to z = 1.7.

28) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

= 15.8; = 3.8

P(10 x 26) =

29) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

= 38; = 15

P(50 x 70) =