Let X 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 of X is as follows.

a. Find P(2).

b. Find P(More than 3).

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 mean μX.

f. Compute the standard deviation σX.
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?

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x 1 2 3 4 5 P(x) 0.70 0.15 0.10 0.03 0.02