Question: may you please help me? 4. The random variable X is the number of the number of calls received by a switchboard. Suppose X follows

may you please help me?
may you please help me? 4. The random variable X is the

4. The random variable X is the number of the number of calls received by a switchboard. Suppose X follows a Poisson distribution and the average number of occurrences in twenty minutes is two. (1) What is the probability that between 10:00 and 10:30 the switchboard will receiv exactly five calls? (2) What is the probability that between 11:00 and 11:30 the switchboard will receiv more than two calls but fewer than six calls? (Please show the detail computation steps. Please don't just give an answer from Excel functions or calculator functions. Otherwise, you will not get all the points.) [Hint: Please see Chapter 5 - Slides 35- 40 for Poisson Probability Distribution. Plea also see related pages in the textbook.]

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