The claim department of a company is receiving claims. The time between the arrivals of two consecutive
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The claim department of a company is receiving claims. The time between the arrivals of two consecutive claims (an interarrival time) is an exponential r.v., and the probability that this time is larger than 1 min. equals 1/e. Say without any calculations what the mean interarrival time is. Suppose that it is 2 pm now, and we do know that the last call for a claim was 2 mins ago. What is the probability that the next claim will appear (a) Not earlier than 2:02 pm; (b) Before 2:02 pm; (c) At 2:02 pm?
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We see that the parameter a 1 and hence the mean interarrival time equals ...View the full answer
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