Question: Consider a normally distributed random variable x, with population mean ? = 50 and population standard deviation ??= 15. Solve for the probabilities below.

a. P(50 < x < 70)

b. P(42 < x < 63)

c. P(x > 70)

d. P(x > 41)

e. P(40 < x < 50)

f. P(x < 58)

g. P(38 < x < 45)

h. P(x < 45)

i. P(55 < x < 75)