LetX

represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution ofX is as follows.

X 1 2 3 4 5

P(X) 0.67 0.14 0.12 0.04 0.03

(a) FindP1.

(b) FindP(less than3).

(c) Find the probability that a car has only one occupant.

(d) Find the probability that a car has fewer than four occupants.

(e) Compute the meanx. Round the answer to two decimal places.

(f) Compute the standard deviationx. Round the standard deviation to three decimal places.

(g) To save energy, a goal is set to have the mean number of occupants be at least two per car. Has this goal been met?

Since the computed mean number of occupants per car is only, then this goal to have the mean number of occupants to be at least two per carbeen met.