A market research team compiled the following discrete probability distribution. In this distribution, x represents the number of automobiles owned by a family: Which of the following statements is true?
A) This distribution is skewed to the right.
B) This is a binomial distribution.
C) This is a normal distribution.
D) This distribution is skewed to the left.
E) This distribution is bimodal.

Question

A market research team compiled the following discrete probability distribution. In this distribution, x represents the number of automobiles owned by a family:  Which of the following statements is true?
A) This distribution is skewed to the right. 
B) This is a binomial distribution. 
C) This is a normal distribution. 
D) This distribution is skewed to the left. 
E) This distribution is bimodal.

Quizplus · Accepted Answer

The distribution is not evenly distributed, as there are a significant number of families with 0-2 cars but very few with 5 or more cars. This suggests that the distribution is skewed to the left. It is not a binomial distribution because the probabilities do not have the same shape as a binomial distribution. It is not a normal distribution because the probabilities are not evenly distributed around a mean. It is not bimodal because there is only one peak in the distribution.

A Market Research Team Compiled the Following Discrete Probability Distribution