A university cafeteria line in the student center is aself-serve facility in which students select the fooditems they want and then form a single line to paythe cashier. Students arrive at the cashier at a rateof about four per minute according to a Poisson dis-tribution. The single cashier ringing up sales takesabout 12 seconds per customer, following an expo-nential distribution.(a) What is the probability that there are more thantwo students in the system? More than threestudents? More than four?(b) What is the probability that the system is empty?(c) How long will the average student have to waitbefore reaching the cashier?(d) What is the expected number of students in thequeue?(e) What is the average number in the system?(f) If a second cashier is added (who works at thesame pace), how will the operating character-istics computed in parts (b), (c), (d), and (e)change? Assume that customers wait in a singleline and go to the first available cashier.

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Answered: A university cafeteria line in the…

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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If you know that every 30 minutes, a plane takes off from Jeddah Airport to Riyadh Airport, starting at 10 am. If a group of passengers arrives at Jeddah airport at a time that follows the regular continuous distribution between 6:00 a.m. and 7:30 a.m., then what is the likelihood that passengers wait for the plane less than 15 minutes
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Who derives the equation of the normal probability distribution function? a. Abraham de Moivre b. Karl Friedrich Gauss c. Pierre Simon de Laplace
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High School Band - In most US high schools, students can play an instrument in three types of bands. A random sample of high school band students was taken and the results are summarized in the table below. Instrument type Band Woodwind Brass Percussion type Concert 31 25 8. Jazz 10 16 10 Marching 65 65 27 To assess whether there is a relationship between band type and instrument type, we want to conduct an appropriate hypothesis test. Choose the null and alternative hypothesis? 1. The categorical variables band type and instrument type are independent. Alternative hypothesis 2. The categorical variables band type and instrument type are not independent. Null hypothesis

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