Suppose calls are arriving at a telephone exchange at an average rate of one per second, according to a Poisson arrival process. Find: a) the probability that the fourth call after time t= 0 arrives within 2 second of the third call; b) the probability that the fourth call arrives by time t = 5 seconds; c) the expected time at which the fourth call arrives.
Suppose calls are arriving at a telephone exchange at an average rate of one per second, according to a Poisson arrival process. Find: a) the probability that the fourth call after time t= 0 arrives within 2 second of the third call; b) the probability that the fourth call arrives by time t = 5 seconds; c) the expected time at which the fourth call arrives.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Step 1: Write the given information.
VIEWStep 2: Determine probability that fourth call after time t = 0 arrives within 2 second of the third call.
VIEWStep 3: Determine the probability that the fourth call arrives by time t = 5 seconds.
VIEWStep 4: Determine the expected time at which the fourth call arrives.
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