ScholarMatic: Explanation & Answer
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Problem 3. Suppose we do the experiment in the previous problem without replacement; answer all three parts in this new experiment (Hint: This is NOT a Geometric distribution).
The following two problems use the Poisson. Remember that one of the key features of a Poisson Process is that it has a mean arrival rate ? = number of arrivals / unit time. This rate scales linearly, so for example the mean number of arrivals in 10 unit times is 10 ? and the number of arrivals in half a unit time is ?/2.
Problem 4. The number of wrong-number calls received per day in the CS department is 3; assume the rate is constant for any 24-hour period, including non business days (Saturday and Sunday). What is the probability that they will receive
(a) 2 wrong-number calls tomorrow?
(b) Between 12 and 20 (inclusive) wrong-number calls next week?
(c) At least 3 wrong-number calls during lunch-time (12-1pm) during business hours (M – F) next week?
ScholarMatic: Explanation & Answer
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