In: Statistics and Probability
Find the probability of the following: (Be sure to include all work)
World Wide Insurance Company found that 53% of the residents of a city had homeowner's insurance (H) with the company. Of these clients, 27% also had automobile insurance (A) with the company. If a resident is selected at random, find the probability that the residence has both homeowner's and automobile insurance with World Wide Insurance Company.
P(H) = 0.53
P(A | H) = 0.27
We have to calculate P(H A) = ?
Using multiplication rule,
P(H A) = P(A | H) * P(H)
= 0.27 * 0.53
= 0.1431