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room (ER) of a local hospital seekin be modeled by the Poisson distribu

room (ER) of a local hospital seekin be modeled by the Poisson distribu

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 13 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 3 minutes will pass until the next person seeking medical attention arrives? Use four decimals in your answer. If necessary, use your a P(X ≤ 3) (c) It has been 4 minutes since the last person seeking medical attention arrived at the ER. What is the probability that at least 13 minutes (in total) will pass until the next medical-attention-seeking person passes through the ER doors? Use four decimals in your answer.
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 13 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 3 minutes will pass until the next person seeking medical attention arrives? Use four decimals in your answer. If necessary, use your a P(X ≤ 3) (c) It has been 4 minutes since the last person seeking medical attention arrived at the ER. What is the probability that at least 13 minutes (in total) will pass until the next medical-attention-seeking person passes through the ER doors? Use four decimals in your answer.
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