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The number of people arriving per hour at the emergency room (ER) of a local hospital seeking medical attention can be modeled by the Poisson distribution, with a mean of 15 people per hour. The inter-arrival time, X, is defined as the time that passes between successive arrivals of patients seeking medical attention. (a) How much time in minutes would you expect to pass between the arrival of successive patients seeking medical attention at this ER, in any given hour? Enter your answer to two decimals. minutes If you need to use your answer in part (a) for the remaining parts of this question, use two decimals. (b) A person has just arrived at the ER to receive medical attention. What is the probability that at most 7 minutes will pass until the next person seeking medical attention arrives? Use four decimals in your answer. If necessary, use your a P(X <7) = (c) It has been 4 minutes since the last person seeking medical attention arrived at the ER. What is the probability that at least 9 minutes (in total) will pass until the next medical-attention-seeking person passes through the ER doors? Use four decimals in your answer. (d) 55% of the time, the inter-arrival time is at most how many minutes? Enter your answer to two-decimals. minutes

The number of people arriving per hour at the emergency room (ER) of a local hospital seeking medical attention can be modeled by the Poisson distribution, with a mean of 15 people per hour. The inter-arrival time, X, is defined as the time that passes between successive arrivals of patients seeking medical attention. (a) How much time in minutes would you expect to pass between the arrival of successive patients seeking medical attention at this ER, in any given hour? Enter your answer to two decimals. minutes If you need to use your answer in part (a) for the remaining parts of this question, use two decimals. (b) A person has just arrived at the ER to receive medical attention. What is the probability that at most 7 minutes will pass until the next person seeking medical attention arrives? Use four decimals in your answer. If necessary, use your a P(X <7) = (c) It has been 4 minutes since the last person seeking medical attention arrived at the ER. What is the probability that at least 9 minutes (in total) will pass until the next medical-attention-seeking person passes through the ER doors? Use four decimals in your answer. (d) 55% of the time, the inter-arrival time is at most how many minutes? Enter your answer to two-decimals. minutes

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The number of people arriving per hour at the emergency room (ER) of a local hospital seeking medical attention can be modeled by the Poisson distribution, with a mean of 15 people per hour. The inter-arrival time, X, is defined as the time that passes between successive arrivals of patients seeking medical attention. (a) How much time in minutes would you expect to pass between the arrival of successive patients seeking medical attention at this ER, in any given hour? Enter your answer to two decimals. minutes If you need to use your answer in part (a) for the remaining parts of this question, use two decimals. (b) A person has just arrived at the ER to receive medical attention. What is the probability that at most 7 minutes will pass until the next person seeking medical attention arrives? Use four decimals in your answer. If necessary, use your a P(X <7) (c) It has been 4 minutes since the last person seeking medical attention arrived at the ER. What is the probability that at least 9 minutes (in total) will pass until the next medical-attention-seeking person passes through the ER doors? Use four decimals in your answer. (d) 55% of the time, the inter-arrival time is at most how many minutes? Enter your answer to two-decimals. minutes
Transcribed Image Text:The number of people arriving per hour at the emergency room (ER) of a local hospital seeking medical attention can be modeled by the Poisson distribution, with a mean of 15 people per hour. The inter-arrival time, X, is defined as the time that passes between successive arrivals of patients seeking medical attention. (a) How much time in minutes would you expect to pass between the arrival of successive patients seeking medical attention at this ER, in any given hour? Enter your answer to two decimals. minutes If you need to use your answer in part (a) for the remaining parts of this question, use two decimals. (b) A person has just arrived at the ER to receive medical attention. What is the probability that at most 7 minutes will pass until the next person seeking medical attention arrives? Use four decimals in your answer. If necessary, use your a P(X <7) (c) It has been 4 minutes since the last person seeking medical attention arrived at the ER. What is the probability that at least 9 minutes (in total) will pass until the next medical-attention-seeking person passes through the ER doors? Use four decimals in your answer. (d) 55% of the time, the inter-arrival time is at most how many minutes? Enter your answer to two-decimals. minutes
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