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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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