Steve Owns a retail store, every min, a customer arrives withprobability 0.2(Assume maximum of 1 customer will arrive) a,every min a customer(already in the store) purchase a productand leave with probability 0.3(Assume maximum of 1 customerwill leave every min). Due to Covid 19, the store has a maximumcapacity of 25 customers. Assume that if a customer arriveswhen the retail store is already at maximum capacity then thecustomer will leave instead. (Note: Both departure and arrivalcan happen at same time.Also, Given that state variable and state spaceXn: the number of customers in the store at the n-th minSx = {1,2,.25}Pij = 0.14Pji = 0.24Pii = 0.62(a) Which one Is more likely 12 customers currently inside storesor 15 customer currently in the store Justify your answer.(B) compute P(X = 12) and P(X = 15)

Answered: Image /qna-images/answer/20e035a8-cd2e-4ac8-908e-a1c23c93a3e8.jpg

Answered: Steve Owns a retail store, every min, a…

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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Suppose there are a million cars made by a car company across the globe, where the probability that a car has a defective brake part is 0.0002. Based on the Monte Carlo algorithm, determine the minimum number of cars that needs to be tested so the probability of finding not even a defective car among those tested is less than two in a million. Use a calculator to simplify your answer and obtain the minimum number of cars.
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Ex 2. The supplier sent a batch of 10000 parts to the customer. The probability of damage to one part during transportation is 0.002. Find the probability that it will be damaged in transit. a) exactly 20 parts b) less than 10 parts c) more than 40 parts d) from 10 to 30 parts
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A university computer laboratory installs one of three operating systems on each computer used in the lab. It is known from product testing that during an hour of web browsing the probability a computer with system 1 installed will crash is 0.15, the probability of a computer with operating system 2 crashing is 0.08 and the probability of a computer with system 3 crashing is 0.1. Operating systems 1 and 3 are installed on the same number of computers while system 2 is installed on twice as many computers as system 1 (or system 3).a) What is the probability that a randomly selected computer crashes during an hour of web browsing?b) If a computer selected at random crashed during an hour of browsing the web, what is the probability it has operating system 2 installed?c) If a computer selected at random does not crash during an hour of web browsing what is the probability it has operating system 1 or operating system 2 installed?
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