What is the probability the whole system works?

Q: Bernoulli processe

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

Q: In the series system the reliability of the system is the product of the reliabilities of the, а.…

A: Given problem Given that   In the series system the reliability of the system is the product of the…

Q: At each of three very dangerous intersections, an average of two crashes occur every week. These…

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Q: P(S;+1|S;) = 0.15 and P(S;+1|S;) = 0.40 for j = 1, 2, 3, where S; is the event that by the jth…

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Q: Find the probability that ((97 mod 2) +1 ) interviews will be conducted in 8 minutes.

A: Here given ,  The average time for conducting 2 interviews is 5 minutes. So, here λ = rate of taking…

Q: there is a box with 3 numbers: {1,2, 3}. You are allowed to draw 2 numbers from this box, and if the…

A: Given information: Box with 3 numbers: {1, 2, 3}

Q: Suppose a room has two lamps, but to have adequate light both lamps must work (success) when turned…

A: Given data: P1 = P(First lamp working) =  0.98 P2 = P ( second lamp working ) = 0.85 To find: The…

Q: Alice is considering buying a security from Bob. There are two states of the world, L and H, which…

A: Given dataAlice is considering buying a security from Bob.There are two states of the world L and H…

Q: A store opens at 8:00am with one customer in the queue. After every minute, a new customer will…

A: In this problem, we are asked to calculate the probability of having 2 customers in a queue at a…

Q: Let X and Y be the two stations on an Ethernet and both stations have a ready state of frames to…

A: Given problem Given that   Let X and Y be the two stations on an Ethernet and both stations have a…

Q: The odds against a student X solving a Mathematics problem are 8:6 and the odds in favour of student…

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Q: 1 The probability of solving the specific problem independently by the persons' A and B are 1 and…

A: Given that probabiy of solving the specific problem independent by the person A and B are 1/2 and…

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

A: Here given  The number of identical components is four. consider the number of components is denoted…

Q: You and a friend are spending two days in the woods; you both enjoy hiking. HOWEVER, each of you…

A: The objective of this question is to model the situation as a normal form game where you and your…

Q: If you get 0 pages of homework this week, then with probability 0.2 you get 5 pages of homework next…

A: Given: P0 to 5=0.2P0 to 20=0.20P5 to 0=0P5 to 5=0.20P20 to 5=0P20 to 20=0.50

Q: r there are 5 black balls (H) and 3 yellow balls (K). Action 1: Take randomly a ball repeatedly from…

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Q: Consider a random walk over 3 webpages, 1, 2, 3. At any step, if the person is at webpage 1, then…

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

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Q: box A K-out-of-n system is one that will function iff and only if at least of the individual…

A: From the provided information, Sample size (n) = 10 Probability that component function…

Q: A driver wants to drive from point I to point II. He can choose either path A or path B for his…

A: The following diagram shows the illustration for the given scenario, The probability of randomly…

Q: Once per minute, a subway train arrives at the XYZ station with probability p. Every time the train…

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Q: ce per minute, a subway train arrives at the XYZ station with probability p. Every time the train…

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Q: Marvin is deciding a path from three (3) routes to reach = Village C (he is at Village A): A → Bk →…

A: From the given information, There are 3 routes. A→Bk→C for k=1,2,3 p1=0.4, p2=0.3, p3=0.3 The path…

Q: Alex has to travel from A to D changing buses at stops B and C enroute. The maximum waiting time at…

A: Alex has travel from A to D changing buses at stop B and C enroute. The maximum waiting time at…

Q: It is 9:7 against person A who is now 40 years of age living till he is 60 and 3:2 against person B…

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Q: Paul and Eric are playing squash, and Paul is determined to win at least two games. Unfortunately…

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Q: (a) What is the probability that it will take four or more rolls of the dice until we get our first…

A: Consider the following events, D1=first dice is selectedD2=second dice is selectedS=dice results a 4…

Q: Consider a worker who works for at most two periods (say, when young and when old) at a particular…

A: The worker works for at most two periods at a particular firm .The workers can choose between…

Q: On average, an office receives a phone call every 5 minutes. For each call, the two operators, and…

A: Part (a) On average, an office receives a phone call every five minutes. From 10.00 and 10.20, there…

Q: A company sells a product which is either of low or high quality where the quality is known to the…

A: a) In order to find the conditions for there to be a separating Perfect Bayesian Nash Equilibrium…

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

A: Given that - For a parallel structure of identical components, the system can succeed it at least…

Q: 2. Vito is lost in a maze. At the center of the maze, there are 3 paths. Path 1 leads out of the…

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Q: A system consists of four components with A, B in series and C, D in parallel connected as shown…

A: Given, The probability that the component A,B,C and D fail is 0.10, 0.05, 0.10 and 0.20…

Q: An escape room participant, named Alice, is trapped in a room containing three doors. Assume that,…

A: Number of doorsThe first door leads to a route that takes Alice to safety after 1 hour. The second…

Q: Assume the chances of failure of each component is given in Figure. What is the probability that the…

A: The system would work when A and  D work and atleast 1 of B or C works Probability that the system…

Q: A string of Christmas lights contains 20 lights. The lights are wired in series, so that if any…

A: Given that there are 20 lights. The probability of working for a 3-year period is 0.98 Given that if…