Do you carpool? 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.

Show work please

x12345

P(x)0.700.150.100.030.02

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 X.

f. Compute the standard deviation X.