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.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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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. 

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