A system consists of four components connected as shown in the following diagram:ANumeric ResponseCDBAssume A, B, C, and D function independently. If the probabilities that A, B, C, and D fail are 0.100, 0.05, 0.100, and 0.210, respectively, what isthe probability that the system functions? (Round the final answer to four decimal places.)ICheck my

From the given information ,A system consists of 4 components ( A,B,C,D)Given that ,0.1000.050.100…

Answered: A system consists of four components…

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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Lavon takes a commuter train into the city each day. The train stops at his stop every 30 minutes to let passengers on. His ride to the city is 12 minutes long. If he arrives at the stop at 3:00PM, what is the probability he will get to the city by 3:20PM? (Hint: He needs to be picked up by the train and then travel 12 minutes in a span of 20 minutes. How much time does that leave him to wait to be picked up by the train?)
F A system consists of four components connected as shown in the following diagram: A B C D Assume A, B, C, and D function independently. If the probabilities that A, B, C, and D fail are 0.10, 0.05, 0.10, and 0.20, respectively, what is the probability that the system functions?
Customers at a gas station pay with credit card (A), debit card (B), and cash (C). Assume each customer has independent choices with P(A) = 0.5, P(B) = 0.2, and P(B) = 0.3, find the probability that in 100 customers, 60 of them will pay via credit card, 10 via debit card, and 30 cash.
Parts d and e
Consider three classes (I, II and III) consisting of 30, 25, and 45 students. Suppose a student is selected from class I, then he has 10% chance to make an A. Assume that these probabilities for the class II and III are 15% and 20% respectively. If a student is selected randomly and has an A, what is the probability that he is from class II. Enter your answer to the nearest FOUR decimal places.
Gail is taking two courses, Psychology and Engineering. Student records indicate the probability of passing Psychology is 0.55, failing Engineering is 0.70, and passing at least one course is 0.80. Find the probability that Gail will: a)pass both courses. b)pass exactly one course.
A person must pay $$6 to play a certain game at the casino. Each player has a probability of 0.16 of winning $$12, for a net gain of $$6 (the net gain is the amount won 12 minus the cost of playing 6).Each player has a probability of 0.84 of losing the game, for a net loss of $$6 (the net loss is simply the cost of playing since nothing else is lost).What is the Expected Value for the player (that is, the mean of the probabiltiy distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer with two decimal places.
Students at University X must have one of four class ranks-freshman, sophomore, junior, or senior. At University X, 35% of the students are freshmen and 30% are sophomores. If a University X student is selected at random, the probability that he or she is either a junior or a senior is a 70% 35% 30% O d 65% O O o O
A k-out-of-n system is one that will function if and only if at least k of the n individual components in the system function. If individual components function independently of one another, each with probability 0.75, what is the probability that a 3-out-of-5 system functions? (Round your answer to three decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? Read It
A system has six components connected as shown in the following diagram: B A D Assume A, B, C, D, E, and F function independently. If the probabilities that A, B, C, D, E, and F function are .95, .90, .97, .94, .92, and .93 respectively, what is the probability that the system fails?
a) In the following systems, figure Q4a, the probability that each individual component of type A will fail is 0.04, type B 0.06, type C 0.01. All components A, B and C are independent. Calculate the overall probability that the system will work. A B B Figure Q40 C
Calculate the reliability of the system shown below if components A, B, and C function properly independently of each other with probabilities 0.83, 0.75, and 0.49, respectively. (Enter your answer as a number between 0 and 1 rounded to two decimal places) A Your Answer:

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