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

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