A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40% of this population prefers the color red. If 14 buyers are randomly selected, what is the probability that exactly 2 buyers would prefer red

The probability that exactly 2 buyers would prefer red car is 0.0317.

Step-by-step explanation:

Let the random variable X represent the number of buyers would prefer red car.

The probability of the random variable X is, p = 0.40.

A random sample of n = 14 buyers are selected.

The event of a buyer preferring a red car is independent of the other buyers.

The random variable X thus follows a Binomial distribution with parameters n = 14 and p = 0.40.

The probability mass function of X is:

Compute the  probability that exactly 2 buyers would prefer red car as follows:

Thus, the probability that exactly 2 buyers would prefer red car is 0.0317.

900 degrees

step-by-step explanation:

with btw u said 100pts but it clearly says

i answerd and just got 10pts

no hate