If the random variable z has a standard normal distribution, sketch and find each of the following probabilities:

a. P(0 ≤ z ≤ 1.5)

b. P(z ≥ 2)

c. P(z ≤ 1.5)

d. P(z ≥ – 1)

e. P(z ≤ – 3)

f. P(– 1 ≤ z ≤ 1)

g. P(–2.5 ≤ z ≤ .5)

h. P(1.5 ≤ z ≤ 2)

i. P(–2 ≤ z ≤ –.5)