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