(a) Find the probability that, during any 90 minute period, the number of patients arriving at the hospital accident and emergency department is i. exactly 7; ii. at least 2. (b) A patient arrives at 11:30am, find the probability that the next patient arrives be- fore 11:45am.

A First Course in Probability (10th Edition)
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6. An average of 10 patients arrive at a hospital accident and emergency department in
every hour.
(a) Find the probability that, during any 90 minute period, the number of patients
arriving at the hospital accident and emergency department is
i. exactly 7;
ii. at least 2.
(b) A patient arrives at 11:30am, find the probability that the next patient arrives be-
fore 11:45am.
Transcribed Image Text:6. An average of 10 patients arrive at a hospital accident and emergency department in every hour. (a) Find the probability that, during any 90 minute period, the number of patients arriving at the hospital accident and emergency department is i. exactly 7; ii. at least 2. (b) A patient arrives at 11:30am, find the probability that the next patient arrives be- fore 11:45am.
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