An insurance company has a portfolio of 10,000 policies. Based on past data, the company estimates that the probability of a claim on any one policy in a year is 0.003. It assumes no policy will generate more than one claim in a year. (i) Determine the approximate probability of more than 40 claims from the portfolio of 10,000 policies in a year. (4) (ii) Determine an approximate equal-tailed interval into which the number of claims per year will fall w
An insurance company has a portfolio of 10,000 policies. Based on past data, the company estimates that the
(i) Determine the approximate probability of more than 40 claims from the portfolio of 10,000 policies in a year. (4)
(ii) Determine an approximate equal-tailed interval into which the number of claims per year will fall with probability 0.95. (2)
(iii) In practice, 42 claims were received in a particular year. A Director of the company complains about the range of estimates in part (ii) being wrong.
Comment on the Director’s complaint.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
