There are three insurance companies in the Business District in Accra. It is known from previous records that

each year, 2 percent, 5 percent and 3 percent of those

insured by Vanguard Insurance, Enterprise Insurance and

Star insurance respectively submit claims. 20 percent of the

people in the community have an insurance policy with

Vanguard Insurance Company, 30 percent with Enterprise

Insurance Company and 50 percent with Star Insurance

Company.

(i) What is the probability that a randomly selected

insurance policyholder in the community did a claim in a

certain year?

(ii) If a randomly selected policy holder in the community

is found to have made a claim in a certain year, what is the

probability that, that person is insured with Vanguard

Insurance?

(iii) If a randomly selected policy holder in the community

is found to have made a claim in a certain year, what is the

probability that, that person is insured with Insurance