Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate.

a. P(0 ≤ Z ≤ 2.17)

b. P(0 ≤ Z ≤ 1)

c. P(-2.50 ≤ Z ≤ 0)

d. P(-2.50 ≤ Z ≤ 2.50)

e. P(Z ≤ 1.37)

f. P(-1.75 ≤ Z)

g. P(-1.50 ≤ Z ≤ 2.00)

h. P(1.37 ≤ Z ≤ 2.50)

i. P(1.50 ≤ Z)

j. P(|Z| ≤ 2.50)