8
QuizMultiple Choice

Binomial Random Variables

Question 8 • College Prep Math B - IC26

According to a website, one out of five adults will make an online purchase in any given week. A survey asked 20 randomly selected adults if they had made an online purchase within the past week. Let X represent the number of adults who had made an online purchase within the past week.What is the shape of the probability histogram of X?

Answer
A
skewed left
B
skewed right
C
approximately uniform
D
approximately symmetric

Explanation

The number of adults who made a purchase follows a binomial model with n = 20 and p = 0.20. Because the probability of success is less than 0.5, the distribution has a longer tail toward larger counts, so it is skewed right. The correct choice is “skewed right.”

AI-written and checked against the verified answer.