Question

Car color preferences change over the years and according to the particular model that the customer selects. In a recent year, 20% of all luxury cars sold were white. Assume that 25 cars of that year and type are randomly selected. Define X to be the number of these cars that are white. What is the probability that exactly six of these cars are white?

Answer 1

Explanation:

Let x be defined as a random variable representing the number of these cars that are white. This is a binomial distribution since the outcomes are two ways. It is either a selected car of that year and type is white or not. The success would be that the selected car is white. The probability of success, p = 20/100 = 0.2

The probability of failure, q would be 1 - p = 1 - 0.2 = 0.8

Given the number of selected cars, n is 25 and number of success, x is 6, we would determine P(x = 6)

From the binomial probability calculator,

P(x = 6) = 0.16