A survey of cars on a certain stretch of highway during morning commute hours showed that 70% had only one occupant, 15% had 2, 10% had 3, 3% had 4, and 2% had 5. Let Xrepresent the number of occupants in a randomly chosen car.

a. Find the probability mass function of X.

b. Find P(X ≤ 2).

c. Find P(X > 3).

d. Find μX.

e. Find σX

Solution:

Step 1of 3 :

A survey of cars on a certain stretch of highway during morning commute hours showed that 70% had only one occupant 15% had 2, 10% had 3, 3% had 4, and 2% had 5.if X represent the number of occupants in a randomly chosen car.

We have to find

- The probability mass function of X.
- P(X)
- P(X>3)
- E(X)
- .