Question: Consider a group of students whose are assigned to work a random number of hours. Their hours per student, per week, are modeled by a

Consider a group of students whose are assigned to work a random number of hours. Their hours per student, per week, are modeled by a Binomial random variable with n = 20 and p = 0.8. (Each hour assigned to work will count as a "success" in the Binomial model.) If there are 100 students in the fraternity, and the numbers of hours spent working are independent, find an estimate for the probability that they work between 1580 and 1620 hours altogether during a given week.

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