The proportion of American 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 resulting in a defect. Assume the births are independent. Identify an appropriate probability model for X. a. binomial distribution with n

The appropriate probability model for X is a Binomial distribution,

X Bin (n = 5, p = 1/33).

Step-by-step explanation:

The random variable X can be defined as the number of American births resulting in a defect.

The proportion of American births that result in a birth defect is approximately p = 1/33.

A random sample of n = 5 American births are selected.

It is assumed that the births are independent, i.e. a birth can be defective or not is independent of the other births.

In this experiment the success is defined as a defective birth.

The random variable X satisfies all criteria of a Binomial distribution.

The criteria are:

Thus, the appropriate probability model for X is a Binomial distribution, Bin (n = 5, p = 1/33).