Find probability that inter-arrival time is in range

Reference no: EM13122929

The number of calls for service utilizing the 911 system received by the Cape Coral Police Department on a Saturday night is 20 calls per hour and follows a Poisson distribution.

a. Find the mean and standard deviation for the number of calls between midnight and 3 am.

If the number of calls exceeds 30 per hour, then lower priority calls may not receive police follow-up in a timely manner.

b. Find the probability that no more than 30 calls are received during any given hour on Saturday night.

c. What is the probability over the course of a twelve hour shift that there will be at least one hour in which follow-up is not timely?

The inter-arrival time between calls is the length of time between the receipt of one call and the next.

d. Find the probability that the inter-arrival time between two consecutive calls is between 1 and 2 minutes.

Reference no: EM13122929

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