Problem 9 You're a healthcare engineering consultant and you're analyzing the emergency room design at Pawhuska Hospital, Inc. To understand the service rate of the ER, you must first analyze the arrival of patients, and you begin by studying the overnight arrivals. The probability distribution is shown in the table. a. Plot the probability distribution function of hourly patients arriving to the ER. b. Calculate the mean and standard deviation of the probability distribution of hourly ER arrivals. c. What is the probability that fewer than three patients arrive in an hour? Arrivals to the ER in an hour during the night shift Probability 0 1 2 3 4 5 0.04 0.11 0.24 0.32 0.14 0.08 6 0.02 7 0.05

A First Course in Probability (10th Edition)
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Problem 9
You're a healthcare engineering consultant and you're analyzing the emergency room design at
Pawhuska Hospital, Inc. To understand the service rate of the ER, you must first analyze the
arrival of patients, and you begin by studying the overnight arrivals. The probability distribution
is shown in the table.
a. Plot the probability distribution function of hourly patients arriving to the ER.
b. Calculate the mean and standard deviation of the probability distribution of hourly ER
arrivals.
c. What is the probability that fewer than three patients arrive in an hour?
Arrivals to the ER in an hour during the night shift
Probability
0
0.04
1
0.11
2
3 4 5
0.24 0.32 0.14 0.08
6
0.02
7
0.05
Transcribed Image Text:Problem 9 You're a healthcare engineering consultant and you're analyzing the emergency room design at Pawhuska Hospital, Inc. To understand the service rate of the ER, you must first analyze the arrival of patients, and you begin by studying the overnight arrivals. The probability distribution is shown in the table. a. Plot the probability distribution function of hourly patients arriving to the ER. b. Calculate the mean and standard deviation of the probability distribution of hourly ER arrivals. c. What is the probability that fewer than three patients arrive in an hour? Arrivals to the ER in an hour during the night shift Probability 0 0.04 1 0.11 2 3 4 5 0.24 0.32 0.14 0.08 6 0.02 7 0.05
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