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) =