The number of students who fail per semester is often modeled as a Poisson random variable. Assume that on the average there are 6 students who fail per sem. a. What is the probability that there are exactly 5 students who fail in 1 sem? b. What is the probability that there are exactly 3 students in one academic year? c. What is the probability that there are at least 3 students who fail in one sem?

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