The following circuit operates if and only if there is a path of functional devices from left toright. The probability that each device functions is as shown. Assume that the prob- ability that adevice is functional does not depend on whether or not other devices are functional. What is theprobability that the circuit operates? Let A denote the upper devices function. Let B denote thelower devices function. (Show complete solution in your answer sheet)0.950.800.700.900.950.95O a. 0.9293O b.0.9121Oc. 0.4321O d. None among the choices

Answered: The following circuit operates if and…

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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..... aded.) 1place a Table of numbers of girls and probabilities Number of Girls x P(x) 0.005 0.029 0.114 3 0.211 4 0.281 5 0.221 0.101 0.035 6 7 8 0.003 Print Done
Which of the following is a false statement? O If two events are dependent, the probability of one event effects the probability of the other If two events are dependent, they cannot occur together. OIf two events are independent, the probability of one event has no effect on the probability of the other. If one event is dependent on another, then the second event depends directly on the outcome of the first event. acer F12 Sa Lk Pause Break PriSc F10 F11 F7 F8 F9 F5 420 & %
The device consists of 3 elements. The probability of failure free operation of each of them are respectively equal to. 0.6, 0.7, 0.8. Find the probability that at least two of elements will work without fail.
Part C D E
Find the efficiency of the source that emits the following symbols A, B, C, D, E, F, G their corresponding probabilities and codes are 0.3, 0.15, 0.2, 0.1, PE, PF, 0.07 and 11, 101, 01, 001, 0000, 10O, 0001, respectively. * 1 Add file
Assume that we have three coins: The first coin is fair. The second coin is unfair with probability of heads equal to 0.8. The third coin is also unfair with probability of heads equal to 0.3. Consider an experiment involving two successive coin tosses. The result of the first stage of the experiment is determined by the toss of the fair coin. The result of the second stage of the experiment is determined by the toss of a coin, but suppose that the coin that is used depends upon the result of the toss of the fair coin. Specifically, if the toss of the fair coin results in heads, then the second coin is tossed. Otherwise the third coin is tossed. Let Hi and Ti be the events that ith toss resulted in heads and tails, respectively. Answer the following questions. a) Give a sequential description of the experiment using a tree diagram. b) Calculate the probabilities of the possible outcomes of the experiment. c) Calculate P(H2) d) Are the events H1 and H2 independent? Justify…
IToday's practice The following circuit operates if and only if there is a path of functional devices from the left to the right. Assume the devices fail independently and that the probability of failure for each device is 0.9. What is the probability that the circuit operates? TI 3 T2 4. 5.
Assume that we have three coins: The first coin is fair. The second coin is unfair with probability of heads equal to 0.8. The third coin is also unfair with probability of heads equal to 0.3. Consider an experiment involving two successive coin tosses. The result of the first stage of the experiment is determined by the toss of the fair coin. The result of the second stage of the experiment is determined by the toss of a coin, but suppose that the coin that is used depends upon the result of the toss of the fair coin. Specifically, if the toss of the fair coin results in heads, then the second coin is tossed. Otherwise the third coin is tossed. Let H, and T, be the events that ith toss resulted in heads and tails, respectively. Answer the following questions. Calculate P(H,). Are the events H, and H, independent? Justify your answer analytically.

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