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.
What are the approximate mean and standard deviation of the distribution of X?

A) Mean = 0.1515 and standard deviation = 0.1469
B) Mean = 4.8485 and standard deviation = 0.3833
C) Mean = 0.1515 and standard deviation = 0.3833
D) Mean = 4.8485 and standard deviation = 0.1469