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can u help me pls. there is answer format below III. POISSON PROBABILITY DISTRIBUTION 1. Suppose that the number of mothers who purchased infant formula

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can u help me pls. there is answer format below

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III. POISSON PROBABILITY DISTRIBUTION 1. Suppose that the number of mothers who purchased infant formula from a pharmacy over a 10minute period has a Poisson distribution with a mean of 2. [20 points] a. Find the probability that in the next ten minutes, at least three mothers will buy infant formula from a pharmacy. b. Find the probability that in the next twenty minutes, at most four mothers will buy infant formula from a pharmacy. 2. The customer service department of ABC Company receives an average of four complaints per day. If the number of complaints in a day has a Poisson distribution: a. Find the probability thatthe department will receive at most tree complaints on the next day. [10 points] b. What is the probability that it will receive a total of seven complaints in the next two days? (5 points] c. What is the probability that it will receive a total of nine complaints in the next three days? (5 points] Poisson Distribution Formula: sample answer format P = ( M ) " e-1 x! Where: " = is the mean number of occurrences per unit (time, volume, area, etc.) e = is a constant approximately equal to 2.71828... (Actually, e is the base of the natural logarithm system.) x = number of occurrences (0, 1, 2, ...) Sample Problem 5: The average number of days that the school is closed due to flood during the storm in a certain city in the eastern part of the Philippines is 4. What is the probability that the school in this city will close for six (6) days during a storm? Solution: Given: H=4 X =6 e= 2.71828... PS . x! (4) (2.71828)-4 P = 6! 4096(0.01831) P = 720 74.99776 P = 720 P = 0.10416

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