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A​ 4-year review of trauma admissions to a hospital in Papua New Guinea reveals that 2.8...

A​ 4-year review of trauma admissions to a hospital in Papua New Guinea reveals that 2.8 % of such admissions were due to being struck by falling coconuts.

​(a) Suppose 23 patients are admitted to the hospital during a certain time period. What is the probability that no more than 1 of these patients are there because they were struck by falling​ coconuts? Do not use the normal distribution here.

​(b) Suppose 2200 patients are admitted to the hospital during a longer time period. What is the approximate probability that no more than 75 of these patients are there because they were struck by falling​ coconuts?

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