In honour of the author's anniversary, a radio program offers to give an out of print book to the one who calls 100th after the beginning of the broadcast. The calls to the program are modelled by a non-homogeneous Poisson process, and the average number of calls in t hours is (5t)². Find the probability that the 100th call will be received in no more than 15 minutes (t = 0.25), if the 98th call was made 12 minutes after the beginning of the broadcast. 0.89 0.11 0.076 0.002

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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In honour of the author's anniversary, a radio program offers to give an out of print book to the one who calls 100th after the beginning of the
broadcast. The calls to the program are modelled by a non-homogeneous Poisson process, and the average number of calls in t hours is (5t)?.
Find the probability that the 100th call will be received in no more than 15 minutes (t = 0.25), if the 98th call was made 12 minutes after the
beginning of the broadcast.
0.89
0.11
0.076
0.002
Transcribed Image Text:In honour of the author's anniversary, a radio program offers to give an out of print book to the one who calls 100th after the beginning of the broadcast. The calls to the program are modelled by a non-homogeneous Poisson process, and the average number of calls in t hours is (5t)?. Find the probability that the 100th call will be received in no more than 15 minutes (t = 0.25), if the 98th call was made 12 minutes after the beginning of the broadcast. 0.89 0.11 0.076 0.002
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