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.
A researcher suggests using 500 births instead of only 5. In this case, which distribution is a reasonable approximation of X?

A) N(500,1/33)
B) N(484.85, 1/33)
C) N(500, 3.83)
D) N(484.85, 3.83)