Car color preferences change over the years and according to

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. What is the probability of “success” in a single trial of this binomial distribution application? 20% 25% 50% 75% 80%

Solution

If 20% of the luxury car sold were white, then the probability of finding a randomly chosen car to be white in that year = p = 0.2

Now if we randomly select a sample of 25 cars then the distribution of number of white cars will be binomial with parameter n = 25 and p = 0.2.

So, the probability of \"Success\" (i.e. getting a white car) in a single trial of this distribution application = 0.2 = 20%.