The arrivals of patients at a walk-in clinic between 1:00 and 2:00 PM follows a Poisson process with the mean of 10.5. (a) What is the probability that 13 patients arrive at the clinic between 1:00 and 2:00 PM? Round your answer to three decimal places (e.g. 0.987). P = eTextbook and Media (b) What is the probability that no patients arrive between 1:00 and 1:10 pm? Round your answer to two decimal places (e.g. 0.98). P = 1 eTextbook and Media (c) Suppose that 20 patients arrive between 1:00 and 1:30 PM. What is the probability that three more patients arrive between 1:30 and 2:00 PM? Round your answer to two decimal places (e.g. 0.98). P = i eTextbook and Media

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The arrivals of patients at a walk-in clinic between 1:00 and 2:00 PM follows a Poisson process with the mean of 10.5.
(a) What is the probability that 13 patients arrive at the clinic between 1:00 and 2:00 PM?
Round your answer to three decimal places (e.g. 0.987).
P =
eTextbook and Media
(b) What is the probability that no patients arrive between 1:00 and 1:10 pm?
Round your answer to two decimal places (e.g. 0.98).
P = 1
eTextbook and Media
(c) Suppose that 20 patients arrive between 1:00 and 1:30 PM. What is the probability that three more patients arrive between
1:30 and 2:00 PM?
Round your answer to two decimal places (e.g. 0.98).
P = i
eTextbook and Media
(d) Suppose that the arrivals from 12:00 to 1:00 PM follows a Poisson process with a mean of 4.7 Is the number of arrivals
between 12:00 and 2:00 PM a Poisson random variable?
O No.
O Yes.
Transcribed Image Text:The arrivals of patients at a walk-in clinic between 1:00 and 2:00 PM follows a Poisson process with the mean of 10.5. (a) What is the probability that 13 patients arrive at the clinic between 1:00 and 2:00 PM? Round your answer to three decimal places (e.g. 0.987). P = eTextbook and Media (b) What is the probability that no patients arrive between 1:00 and 1:10 pm? Round your answer to two decimal places (e.g. 0.98). P = 1 eTextbook and Media (c) Suppose that 20 patients arrive between 1:00 and 1:30 PM. What is the probability that three more patients arrive between 1:30 and 2:00 PM? Round your answer to two decimal places (e.g. 0.98). P = i eTextbook and Media (d) Suppose that the arrivals from 12:00 to 1:00 PM follows a Poisson process with a mean of 4.7 Is the number of arrivals between 12:00 and 2:00 PM a Poisson random variable? O No. O Yes.
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