An electrical circuit system consists of five components is illustrated in the followingfigure. The reliability (probability of working) of each component is also given in thefigure. Assume that the components fail independently.i.Determine the probability that the entire system works?ii.If you are given the condition that the system works, then find theprobability that the component A is not working?0.70.7AB0.80.80.8C

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Answered: i. Determine the probability that the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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For a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of each other and that each component has a 0.22 protability of failure. Complete parts (a) through (c) below. (a) Would it be unusual to observe one component fail? Two components? It would not be unusual to observe one component fail, since the probability that one component fails, 5 is less than 0.05. It would not be unusual to observe two components fail, since the probability that two components fail, 5, is greater than 0.05. (Type integers or decimals. Do not round.) (b) What is the probability that a parallel structure with 2 identical components will succeed? 5 (Round to four decimal places as needed.) (c) How many components would be needed in the structure so that the probability the system will succeed is greater than 0.9999? 5 (Type a whole number.) O Time Remaining: 01:47:3 e DELL TD0A2331422 Morobore D imprivata 自

A firm making production plans believes there is a 30% probability the price will be $10, a 50% probability the price will be $15, and a 20% probability the price will be $20. The manager must decide whether to produce 6,000 units of output (A), 8,000 units (B) or 10,000 units (C). The following table shows 9 possible outcomes depending on the output chosen and the actual price. Production Profit (Loss) when price is $10 $15 $20 6,000 (A) −$200 $400 $1,000 8,000 (B) −$400 $600 $1,600 10,000 (C) −$1,000 $800 $3,000 What is the variance if 6,000 units are produced?
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Q#6: Solve with detail but neat: A manufacturer of a firm claims that 70% of its new hires turn out to be good workers and the rest are to be poor workers. The company advised their current workers to qualify a reasoning test. Eighty percent of the good workers and forty percent of the poor workers pass the reasoning test. If the company makes the reasoning test be a part of its hiring procedure, what then is the probability of the new hires that; i. Will turn out to be good workers? Will turn out to be poor workers? ii. iii. Depict the turn out percentage of the workers on the Bayes' tree diagram.
A system has six components connected as shown in the following diagram: A Assume A, B, C, D, E, and F function independently. If the probabilities that A, B, C, D, E, and F fail are 0.01, 0.05, 0.02, 0.08, 0.10, and 0.05 respectively, what is the probability that the system fails?
Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What is the probability that Becky's proportion of poses held for over a minute is greater than Carla's? Find the z-table here. O 0.159 O 0,259 0 0.448 O 0,741 Save and Exit Next Submit Math and rem 96 & 7 8 9. 10
This circuit operates only if there is a path of functional devices from left to right (a to b). If the probability that each device functions is 0.95, what is the probability that the circuit operates? Each device fails independently. 1 4 a 7 2
A system has five components connected as shown in the diagram. Assume A, B, C, D, and E function independently. If the probabilities that A, B, C, D, and E function 0.50, 0.65, 0.75, 0.95, and 0.80 respectively, what is the probability that the system fails? 50 .65 A B 1.75 с 95 D E
A system has five components connected as shown in the diagram. Assume A, B, C, D, and E function independently. If the probabilities that A, B, C, D, and E function 0.50, 0.65, 0.75, 0.95, and 0.80 respectively, what is the probability that the system fails?
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Valve A: 92% Valve B: 94% Valve C: 93%
a. Find the probability that the device A functions but the device B does not. b. Find the probability that the device A or the device B or both function. c. Find the probability that the circuit operates. d. It is known that the circuit is operating, find the probability that device A is functional.

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i. Determine the probability that the entire system works? ii. If you are given the condition that the system works, then find the probability that the component A is not working?