a) Find the probability that the call is answered in 2 to 4 minutes. >) Find the probability that the call is answered in 5 minutes or less. c) Using the Complement Rule from probability theory and your answer to part (b), what is the probability that the waiting time is 5 minutes or more?
a) Find the probability that the call is answered in 2 to 4 minutes. >) Find the probability that the call is answered in 5 minutes or less. c) Using the Complement Rule from probability theory and your answer to part (b), what is the probability that the waiting time is 5 minutes or more?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Transcribed Image Text:Suppose the average waiting time for a customer's call to be answered by a company repre-
sentative is four minutes. Waiting times are often modeled by exponential random variables.
If we apply this approach to this example, then the probability that the waiting time is
between a and 6 minutes is given by the integral
·b
[te
е
-t/4 dt
(assuming a ≥ 0 and b ≥ a).
(a) Find the probability that the call is answered in 2 to 4 minutes.
(b) Find the probability that the call is answered in 5 minutes or less.
(c) Using the Complement Rule from probability theory and your answer to part (b), what
is the probability that the waiting time is 5 minutes or more?
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