Question

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? skewed left skewed right approximately uniform approximately symmetric

Explanation:

This is a binomial distribution problem. For a binomial distribution \(X\sim B(n,p)\), where \(n = 20\) (number of trials) and \(p=\frac{1}{5}=0.2\) (probability of success). When \(p<0.5\) and \(n\) is not extremely large, the binomial distribution is skewed right. Here, \(p = 0.2<0.5\), so the probability histogram of \(X\) is skewed right.

Answer:

skewed right