6. In a call center that stays open all the time, calls arrive as a Poisson process with a mean rate of 0.3 complaints per hour. (a) After receiving a call (the 1st call), what is the probability that the 51st call arrives within 150 hours? (b) After receiving a call, what is the probability that the next call arrives after 2 hours? (c) The number of calls received each day is recorded for 50 consecutive days. Find the probability that the sum of these 50 numbers is less than 356.
6. In a call center that stays open all the time, calls arrive as a Poisson process with a mean rate of 0.3 complaints per hour. (a) After receiving a call (the 1st call), what is the probability that the 51st call arrives within 150 hours? (b) After receiving a call, what is the probability that the next call arrives after 2 hours? (c) The number of calls received each day is recorded for 50 consecutive days. Find the probability that the sum of these 50 numbers is less than 356.
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 5SE: The union of two sets is defined as a set of elements that are present in at least one of the sets....
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Transcribed Image Text:6. In a call center that stays open all the time, calls arrive as a Poisson process with a
mean rate of 0.3 complaints per hour.
(a) After receiving a call (the 1st call), what is the probability that the 51st call arrives
within 150 hours?
(b) After receiving a call, what is the probability that the next call arrives after 2
hours?
(c) The number of calls received each day is recorded for 50 consecutive days. Find
the probability that the sum of these 50 numbers is less than 356.
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