A technology company uses the Poisson distribution to model the number of expected network failures per month. It has been detected that, on average, there are 3 network failures per month 1) What is the probability that the company experiences 2 of network failures in a given month. 2) What is the probability that the company experiences less than 4 network failures in a given month. 3) What is the probability that the company experiences between 2 to 4 network failures in a given month. 4) On average, how many days elapse between two failures? (suppose that a month has 30 days). 5) Note that the waiting time that a network fails follows an exponential distribution with a decay parameter λ = 1. What is the probability that a network fails within 3 days?

A technology company uses the Poisson distribution to model the number of expected network failures per month. It has been detected that, on average, there are 3 network failures per month 1) What is the probability that the company experiences 2 of network failures in a given month. 2) What is the probability that the company experiences less than 4 network failures in a given month. 3) What is the probability that the company experiences between 2 to 4 network failures in a given month. 4) On average, how many days elapse between two failures? (suppose that a month has 30 days). 5) Note that the waiting time that a network fails follows an exponential distribution with a decay parameter λ = 1. What is the probability that a network fails within 3 days?

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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