10Relays used in the construction of electric circuits function properly with probability 0.9.13AB24BAssuming that the relays operate independently, if we know that current is flowing, what is the probability that switches 1 and 4 are functioning properly? (Roundyour answer to four decimal places.)

Given that,P(circuit working properly) There are four relays and the event that the relay function…

Answered: Assuming that the relays operate…

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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Recall Milgram’s infamous obedience studies. Milgram had participants give a series of increasingly painful electric shocks to another participant (actually a confederate). Milgram he found that 65% of the real participants obeyed through the end of the study, giving what they thought was 350 volts to the confederate, which was considered “lethal”. Given the infamous study and the negative attention it received, current researchers doubt that current (and more knowledgeable) participants would obey as much as the naïve participants that Milgram used in the original study. Are the researchers correct? Which is the research hypothesis? Ha: Obedience = 65% Ha: Obedience < 65%
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section 5.3 Out of 413 applicants for a job, 127 have over 10 years of experience and 51 have over 10 years of experience and have a graduate degree. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience? Enter a fraction or round your answer to 4 decimal places, if necessary. Step 2 of 2: Consider that 83 of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over 10 yrs of experience, given that the applicant has a graduate degree? round to 4 decimal places
Example 7.40: You set out on a walk with three possible locations, denoted locations 1, 2 and 3. The probabilities of travelling from a specified location to the next are given by Solution. If you know that you started in location 3, what is the probability that you end up at location 1 after two time periods? Using the above equation, we get To solve this we use the equation Xn+1 = AXn. Given that you began in location 3, the initial state vector is and subsequently Exercise X₁ = AX0 Probability = A = = X₂ = AX₁ 0.5 0.2 0.4 0.4 0.6 0.1 0.1 0.2 0.5 = Xo 0 0.5 0.2 0.4 0.4 0.6 0.1 0.2 0.5 0.1 ][ Therefore the probability of ending up in location 1 after two time periods is 0.42. 0.5 0.2 0.4 0.4 0.6 0.1 0.1 0.2 0.5 1 0.4 0.1 = 0.5 0.4 0.1 0.5 = 0.42 0.27 0.31 Refer to the example above. If you know that you started in location 2, what is the probability that you will end up at location 1 after one time period?

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Assuming that the relays operate independently, if we know that current is flowing, what is the probability that switches 1 and 4 are functioning properly? (Round your answer to four decimal places.)