Consider an M/M/1 queueing system. Find the probability of nding at least n customers in the system.

Q: Bernoulli processe

A: Given: Number of hit against left hand pitcher, n1=24 Probability of hit against left hand pitcher,…

Q: A machine has four components a,b,c,d set up in such a manner that all four parts must work for the…

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Q: Consider a system made up of three distinguishable 3-sided dice. If the macrostate of this system is…

A: When flipping a 3-sided dice, the total outcomes are 63=216 The outcomes for tossing a die are {1,…

Q: Q15. In a network of 39 computers, 4 have a copy of a particularly critical file to sustain an…

A: Given: N = 39 r = 4 n = 8 Formula Used: P(X=x) = Cxn×Cr-xN-nCrN

Q: Suppose that 30% of applicants for an industry job are proficient at object-oriented programming…

A: It is given that: Probability that the candidate is proficient at OOP =310

Q: There is a system consisting of components. Each component functions with probability p = 0.9,…

A: Given a system consisting of components with each component functions with probability , independent…

Q: A stock index consists of businesses in both Europe and the United States. Assume that each business…

A: Given the probability that American business makes a profit = 90% = 0.90 Given the probability that…

Q: 1. What are the transition probabilities poi,p11, and p22 in this Markov chain? P01 = P1 = P22=…

A: The maximum storage capacity of voicemails in Bob's phoneThe probability of Bob answering messages…

Q: Assume that the store stocks 30 percent brand A, 50 percent brand B, and the rest are brand X.…

A: According to the given information:The store stocks 30% brand A in which 15%  does not provide the…

Q: 3. A system comprised of three independent components. The probability of failure for each component…

A: Three independent components. Probability for failure for 1st component :  p1=0.1 P2=0.2 P3=0.3

Q: Show all work clearly.   A powerplant’s daily electricity generation is managed by identical control…

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Q: During any period, a potential customer arrives at a certain facility with probability 0.5. If there…

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Q: a. What is the probability of error for an arbitrary connection? (Hint: This is similar to the…

A: HERE WE USE PROBABILITY TREE FOR RETRIVE PROBABILITY FROM GIVEN INFORMATION

Q: B1 A B2 D B3

A: Probability that A malfunctions is 0.15, therefore efficiency of A is 0.85. The Probability that B…

Q: the map below shows a one-way subway system starting from station 1. A passenger can go from each…

A: Define the Stations: First, you need to define the stations in your subway system. In your problem,…

Q: One girl and one boy One girl who is left-handed and one boy who is left-handed. Two left- handed…

A: 1)Probablity of choosing one girl and one boy :The number of way to choose girl out of  and  boy…

Q: Find the probability that Amanda swims more than 4 times a month

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Q: Engineers are examining certain boats. They suspect that the diameters of a certain part of the…

A: Given information: In examining the diameters of crankshafts, engineers suspect that the diameters…

Q: Consider a large system which consists of three separate components. These components are connected…

A: Given,Three components are connected in "parallel" in the sense that the system will fail if and…

Q: Consider the following system: Determine the probability that the system will operate under each of…

A: a) From the Given Information:

Q: Assume that the store stocks 40 percent brand A, 40 percent brand B, and the rest are brand X.…

A: Brand X is (100-40-40)=20% P(A)=0.40 , P(B)= 0.40 , P(X)= 0.20 Let, C= event that the number of…

Q: A speculator has identified 300 token coins to invest in. The speculator wishes to have a portfolio…

A: Total number of coins invest in =300 Number of coins speculator wishes to have a portfolio = 30 bit…

Q: A hunter has two hunting dogs. One day, on the trail of some animal, the hunter comes to a place…

A: Check whether one of the strategies is better than the other or not: The probability that a dog…

Q: Assume that the store stocks 30 percent brand A, 50 percent brand B, and the rest are brand X.…

A: Let A be the event of choosing stock A  , B be the event of choosing stock B ,  X be the event of…

Q: Nine independent machines are used in an operation where the probability of a machine to function is…

A: From the provided information, Sample size (n) = 9 Probability of success (p) = 0.95 The process…

Q: A complex electronic system is built with a certain number of backup components in its subsystems.…

A: We have to find 1) Component operates longer than 1000 hours.2) Both components fail in less than…

Q: An auto insurance company classifies each motorist as "high risk" if the motorist has had at least…

A: Consider the given company’s data Let that state 1 is high risk motorist and, while state 2 is low…

Q: Q15. In a network of 40 computers, 4 have a copy of a particularly critical file to sustain an…

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Q: A type of system that is employed in engineering work is a group of parallel components or a…

A: Considering that if any one of the components is still functional, the system will not fail since…

Q: An urn contains 5 white balls and 7 red balls. A second urn contains 7 white balls and 6 red balls.…

A: An urn contains 5 white balls and 7 red balls. A second urn contains 7 white balls and 6 red…

Q: Components of a certain type are shipped to a supplier in batches of 40. Suppose that 50% of all…

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Q: The weather can be considered a stochastic system, because it evolves in a probabilistic manner from…

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Q: For a paralel structure of identical components, the system can succeed if at least one of the…

A: Given :  components fail independently of each other and that each component has a 0.22 probability…