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The number of people arriving for treatment at an emergency room can be modeled by a...

The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a rate parameter of 5 per hour. In other words, the mean number of people arriving in one hour is 5. (Use R)

(a) What is the probability that exactly four arrivals occur during a particular hour?

(b) What is the probability that at least 4 people arrive during a particular hour?

(c) What is the probability that at most 4 people arrive during a particular hour?

(d) Since the mean number of people arriving during one hour is 5, the mean number of people arriving in half hour would be 2.5. Given this information, what is the probability that more than 5 people would arrive in any particular 45-minute period?

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orchestra answered 2 years ago
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