LetXrepresent 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 ofXis as follows.

x

1

2

3

4

5

P(x)

0.70

0.15

0.10

0.03

0.02

a)FindP(2).

b)FindP(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_X.(Round answer to two decimal places.)

f)Compute the standard deviation_X.(Round answer to three decimal places.)