6 An insurance company models the number of motor claims received in 1 day using a Poisson distribution with mean 65
6
- Find the probability that the company receives at most 60 motor claims in 1 day.
Give your answer to three decimal places.
6
- The company receives motor claims using a telephone line which is open 24 hours a day.
Find the probability that the company receives exactly 2 motor claims in 1 hour.
Give your answer to three decimal places.
6 - The company models the number of property claims received in 1 day using a Poisson distribution with mean 23
Assume that the number of property claims received is independent of the number of motor claims received.
6
- Find the standard deviation of the variable that represents the total number of motor claims and property claims received in 1 day.
Give your answer to three significant figures.
6
- (ii) Find the probability that the company receives a total of more than 90 motor claims and property claims in 1 day.
Give your answer to three significant figures.