Question 4 The number of breakdowns of a factory machine in a week may be modelled by a Poisson distribution with a mean number of 3.2 per week. For parts a and b, find the probability that the number of breakdowns that occur in a particular week is each of the following, giving each answer to 4 decimal places. a) 5 or fewer. b) More than 6. c) Find the value of the parameter of the Poisson distribution which could be used to model the total number of breakdowns that occur in a 4-week period. d) Find the probability that the total number of breakdowns that occur in a particular 4-week period is exactly 10, giving the answer to 4 decimal places

Question 4 The number of breakdowns of a factory machine in a week may be modelled by a Poisson distribution with a mean number of 3.2 per week. For parts a and b, find the probability that the number of breakdowns that occur in a particular week is each of the following, giving each answer to 4 decimal places. a) 5 or fewer. b) More than 6. c) Find the value of the parameter of the Poisson distribution which could be used to model the total number of breakdowns that occur in a 4-week period. d) Find the probability that the total number of breakdowns that occur in a particular 4-week period is exactly 10, giving the answer to 4 decimal places

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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Question 11 Log reports show that a piece of software is crashing on average twice in every 24 hour period. Using the Poisson distribution find the probability that the software will crash a. Exactly twice in the next 24 hours. b. More than four times in the next 24 hours. C. Exactly three times in the next week.
Part b is: What is the probability that a company selected at random will have allocated to environmental and pollution control a proportion that exceeds the population mean given in (a)?
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