(a) The number of calls at a call-centre on average is 5 in every minutes. Calculatethe probability that at most 3 calls are received at the call-centre in the period oftwo minutes.(b) A message is sent through three possible routes with probabilities 0.3, 0.25 and0.45, respectively. The probability of error through the three routes are 0.1, 0.2and 0.4, respectively. Suppose that an error free message is received, what is theprobability 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 withan exponential distribution and an average of 3 minutes. Assume that the persongoes to the coffee shop every day for 7 days. Calculate the probability that theperson is served after 2 minutes on at most two out of those 7 occassions. Clearlydefine all the random variables and show all your working.

here AS PER GUIDELINES I HAVE CALCULATED 1ST MAIN QUESTION , AS YOU HAVE POSTED MULTIPLE QUESTIONS…

Answered: (a) The number of calls at a…

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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(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.