Exercise 30 (Section 3.3) gave the pmf of Y, the number of traffic citations for a rando...

Exercise 30 (Section 3.3) gave the pmf of Y, the number of traffic citations for a randomly selected individual insured by a particular company. What is the probability that among 15 randomly chosen such individuals

a. At least 10 have no citations?

b. Fewer than half have at least one citation?

c. The number that have at least one citation is between 5 and 10, inclusive?*

Reference exercise 30

An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is

a. Compute E(Y).

b. Suppose an individual with Y violations incurs a surcharge of $100Y². Calculate the expected amount of the surcharge.