12. Bankrupt? The number of bankruptcies filed in the district court has a Poisson distribution with an

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12. Bankrupt? The number of bankruptcies filed in the district court has a Poisson distribution with an average of 5 per week.

a. What is the probability that there will be no bankruptcy filings during a given week?

b. What is the probability that there will be at least one bankruptcy filing during a given week?

c. Within what limits would you expect to see the number of bankruptcy filings per week at least 75% of the time?

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