The standard deviation of X is X = 1.08. If many households were selected at random, which

The standard deviation of X is σX = 1.08. If many households were selected at random, which of the following would be the best interpretation of the value 1.08?

a. The mean number of cars would be about 1.08.

b. The number of cars would typically be about 1.08 from the mean.

c. The number of cars would be at most 1.08 from the mean.

d. The number of cars would be within 1.08 from the mean about 68% of the time.

e. The mean number of cars would be about 1.08 from the expected value.

Choose an American household at random and let the random variable X be the number of cars (including SUVs and light trucks) they own. Here is the probability distribution if we ignore the few households that own more than 5 cars:

Select the best answer.

Transcribed Image Text:

Number of cars 1 2 3 4 5 Probability 0.09 0.36 0.35 0.13 0.05 0.02