### Expected number of claims per year

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An insurance company has determined that the number of motor insurance claims per customer per year has the following probability distribution:

 No. of claims (x) 0 1 2 3 4 >4 P(x) ? 0.24 0.11 0.03 0.01 0

(a)   What is the probability that a customer makes no claims during the year?

(b) If the company has five thousand customers, what is the expected number of claims per year?

An insurance company has determined that the number of motor insurance claims per customer per year has the following probability distribution:

 No. of claims (x) 0 1 2 3 4 >4 P(x) ? 0.24 0.11 0.03 0.01 0

(a)   What is the probability that a customer makes no claims during the year?

(b) If the company has five thousand customers, what is the expected number of claims per year?

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