# Question Calls to the "911" number of a large community in Calgary have been found to be Poisson distributed with an averagr of 2 calls per minute. Let X represent the amount of time waiting between successive calls. "Identify the distribution of X. Compute the probability that a person will wait at most 20 seconds for an officer to answer their call? If it takes at least 10 second to an officer to answer the next call, compute the probablity that it takes at most 15 seconds in total for the next available agent.

WEFSXD The Asker · Probability and Statistics

Transcribed Image Text: Calls to the "911" number of a large community in Calgary have been found to be Poisson distributed with an averagr of 2 calls per minute. Let X represent the amount of time waiting between successive calls. "Identify the distribution of X. Compute the probability that a person will wait at most 20 seconds for an officer to answer their call? If it takes at least 10 second to an officer to answer the next call, compute the probablity that it takes at most 15 seconds in total for the next available agent.
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Transcribed Image Text: Calls to the "911" number of a large community in Calgary have been found to be Poisson distributed with an averagr of 2 calls per minute. Let X represent the amount of time waiting between successive calls. "Identify the distribution of X. Compute the probability that a person will wait at most 20 seconds for an officer to answer their call? If it takes at least 10 second to an officer to answer the next call, compute the probablity that it takes at most 15 seconds in total for the next available agent.