(a) The number of calls at a call-centre on average is 5 in every minutes. Calculate the probability that at most 3 calls are received at the call-centre in the period of two minutes.
(a) The number of calls at a call-centre on average is 5 in every minutes. Calculate the probability that at most 3 calls are received at the call-centre in the period of two minutes.
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:(a) The number of calls at a call-centre on average is 5 in every minutes. Calculate
the probability that at most 3 calls are received at the call-centre in the period of
two minutes.
(b) A message is sent through three possible routes with probabilities 0.3, 0.25 and
0.45, respectively. The probability of error through the three routes are 0.1, 0.2
and 0.4, respectively. Suppose that an error free message is received, what is the
probability that the message was sent through the first two routes?
(c) The time for an individual to be served at a coffee shop is a random variable with
an exponential distribution and an average of 3 minutes. Assume that the person
goes to the coffee shop every day for 7 days. Calculate the probability that the
person is served after 2 minutes on at most two out of those 7 occassions. Clearly
define all the random variables and show all your working.
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