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1) A normal distribution has μ = 28 and σ = 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.

2) 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.)

μ = 15.8; σ = 3.8

P(10 ≤ x ≤ 26) =

3) 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.)

μ = 38; σ = 15

P(50 ≤ x ≤ 70) =

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