The Proportion of U

Multiple Choice

The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC) . A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.
Which distribution does X follow?

A) Normal distribution with mean 5 and variance 1/33
B) binomial distribution with n = 5 and p = 1/33
C) binomial distribution with n = 5 and p = 32/33
D) Normal distribution with mean 0 and variance 1