The number of people arriving per hour at the emergencyroom (ER) of a local hospital seeking medical attention canbe modeled by the Poisson distribution, with a mean of 13people per hour.The inter-arrival time, X, is defined as the time that passesbetween successive arrivals of patients seeking medicalattention.(a) How much time in minutes would you expect to passbetween the arrival of successive patients seeking medicalattention at this ER, in any given hour? Enter your answerto two decimals.minutesIf you need to use your answer in part (a) for the remainingparts of this question, use two decimals.(b) A person has just arrived at the ER to receive medicalattention. What is the probability that at most 3 minuteswill pass until the next person seeking medical attentionarrives? Use four decimals in your answer. If necessary,use your aP(X ≤ 3)(c) It has been 4 minutes since the last person seekingmedical attention arrived at the ER. What is the probabilitythat at least 13 minutes (in total) will pass until the nextmedical-attention-seeking person passes through the ERdoors? Use four decimals in your answer.

Given, The number of people arriving per hour at the emergency room (ER) of a local hospital seeking…

Answered: room (ER) of a local hospital seekin be…

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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Vehicles arrive at a car detailing service at a rate of 10 per minute according to a Poissondistribution. For simplicity, assume that there is only one lane and one worker who can serve atan average rate of 12 vehicles per minute. Service times are exponentially distributed. Part A: What is the average length of the queue? Part B: What is the average time a vehicle must spend to get through the system? Part C: What is the utilization rate of the worker? Part D: What is the probability that when you arrive at the shop, there will be three ormore vehicles ahead of you?
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A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates 5 years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which it is no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below Observation 3 4 Date 1/25 3/19 5/30 7/3 9/13 11/7 Initial Depth, X, 57.1 67.5 70.3 41.2 70.9 44.3 Depth Five Years Later, Y, 54.6 67.7 67.4 41.9 66.6 47.6 a) Why is it important to take the measurements on the same date? O A. Those are the same dates that all biologists use to take water clarity samples. O B. Using the same dates maximizes the difference in water clarity. O C. Using the same dates makes it easier to remember to take samples. O D. Using the same dates makes the second sample dependent on the first and reduces variability in water clarity attributable to date. b) Does the evidence…
A sample of 20 students who had recently taken elementary statistics yielded the following information on brand of calculator owned. (T = Texas Instruments, H = Hewlett Packard, C = Casio, S = Sharp): нCSCTннSсс cs CTH TTSH H (a) Estimate the true proportion of all such students who own a Texas Instruments calculator. (b) Of the 4 students who owned a TI calculator, 2 had graphing calculators. Estimate the proportion of students who do not own a TI graphing calculator.

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