Work the following binomial distribution problems by using the normal distribution. Check your answers by using Table A.2 to solve for the probabilities.

a. P(x = 12 | n = 25 and p = .60)

b. P(x > 5 | n = 15 and p = .50)

c. P(x ≤ 3 | n = 10 and p = .50)

d. P(x ≥ 8 | n = 15 and p = .40)