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Question 4 (13 marks) (Answers should be rounded off to three signicant gures.) A telecommunication company is conducting research to determine the number of employees

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Question 4 (13 marks) (Answers should be rounded off to three signicant gures.) A telecommunication company is conducting research to determine the number of employees who are absent on Mondays. Suppose the number, x, of the company follows a Poisson distribution with the average number of Monday absentees recorded to be 2.6. 4.1 4.2 4.3 4.4 Find the probability that fewer than two employees are absent on a given Monday. (3) Find the probability that at least one of the employees will be absent on a given Monday (3) Find the probability that more than three employees are absent on a given Monday. (3) Find the probability that exactly four employees are absent on a given Monday. (2) 4.5 Find the probability that at most one of the employees will be absent on a given Monday (2)

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