The number of calls received at a 24-hour service desk follows a Poisson distribution that has a standard deviation of 0.8 per minute. a) Find the probability that the service desk will receive more than 3 calls in the next 5 minutes. b) Find the probability that the time between the last call and the next call will be between 1 to 4 minutes. c) Let X be the time until he receives 3rd call. Find the P(X < 5) and the moment generation function of X.
The number of calls received at a 24-hour service desk follows a Poisson distribution that has a standard deviation of 0.8 per minute. a) Find the probability that the service desk will receive more than 3 calls in the next 5 minutes. b) Find the probability that the time between the last call and the next call will be between 1 to 4 minutes. c) Let X be the time until he receives 3rd call. Find the P(X < 5) and the moment generation function of X.
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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