The service time for a passport application in a certain government office is modelled as an exponential random variable with parameter λ = 5 per hour, independent and identically distributed for all applicants. ● ● Determine the probability that 50 applicants are accommodated within eight hours. (Hint: Answer is not 1 nor 100%) Determine the maximum number of applicants such that the chance of accommodating all of them within eight hours is at least 95%. (Hint: Answer is not 31)

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