A certain large city averages three murders per week and their occurrences follow a Poisson distribution....

 

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A certain large city averages three murders per week and their occurrences follow a Poisson distribution. (a) What is the probability that there will be five or more murders in a given week? (b) On the average, how many weeks a year can this city expect to have no murders? (c) How many weeks per year (average) can the city expect the number of murders per week to equal or exceed the average number per week? A certain large city averages three murders per week and their occurrences follow a Poisson distribution. (a) What is the probability that there will be five or more murders in a given week? (b) On the average, how many weeks a year can this city expect to have no murders? (c) How many weeks per year (average) can the city expect the number of murders per week to equal or exceed the average number per week?