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.

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Description: 6. In a call center that stays open all the time, calls arrive as a Poisson process with amean rate of 0.3 complaints per hour.(a) After receiving a call (the 1st call), what is the probability that the 51st call arriveswithin 150 hours?(b) After re

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

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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