Suppose that the random variable x is normally distributed with mean = 500 and standard deviation = 100. For each of the following,

Suppose that the random variable x is normally distributed with mean μ = 500 and standard deviation σ = 100. For each of the following, use the normal table to find the needed value k. In each case, draw a sketch.

a. P(x ≥ k) = .025

b. P(x ≥ k) = .05

c. P(x < k) = .025

d. P(x ≤ k) = .015

e. P(x < k) = .985

f. P(x > k) = .95

g. P(x ≤ k) = .975

h. P(x ≥ k) = .0228

i. P(x > k) = .9772