Please solve the question correctly. Question 4A Lie detector machine can correctly detect 96% of the time if a person tells a lie and correctly detect95% of the time if a person tells a truth. In a jury board, the probability of a person telling a lie is 2%.Now, the lie detector machine declares that a person has told a lie.a) What is more likely, the person is a liar or not? Apply proper theorem and show full calculation.b) What is the probability of the person not being a liar? Apply proper theorem and show fullcalculation

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Answered: Question 4 A Lie detector machine can…

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter23: Simulation With The Excel Add-in @risk

Section: Chapter Questions

Problem 8RP

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2. A box contains three fair coins, and two trick coins that have heads on both sides. (a) What is the probability that a randomly selected coin from the box will come up heads when flipped? (b) Suppose you randomly pick a coin from the box and flip it, and it comes up heads. What is the probability that it's one of the trick coins? (c) Let X be the random variable that represents the number of heads when every coin in the box is flipped. What is the probability distribution of X? (Hint: you can try counting all the outcomes, or you can remember that coin flips are independent of each other.) (d) What is the expected number of heads when all the coins are flipped?
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4. Consider the building from the figure below. a) If it is 200 feet tall and you are 20 feet away, at what angle from the ground will you have to tilt your head to see the top of the building? (For simplicity assume that your head is even with the ground.) How far is it from your head to the top of the building? Repeat parts (a) and (b) assuming your head is NOT even with the ground, but is 6 feet above ground level. b) c) angle distance d height h
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Question 8 PS:Please answer them correctly.
) The probability of event A occurring is 5/10. The probability of event B occurring is 5/10. What is the Entropy of this system?
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Suppose you wish to prove a theorem of the form “if p then q .”(a) If you give a direct proof, what do you assume and what do you prove?(b) If you give a proof by contraposition, what do you assume and what do you prove?(c) If you give a proof by contradiction, what do you assume and what do you prove?
You are given an exam with questions numbered 1, 2, 3, . . . , n. Each question i is worth pi points and has a frustration score fi . You must answer the questions in order, but you may choose to skip some questions. The reason you might choose to do this is that even though you can solve any individual question i and obtain the ???? points, some questions are so frustrating that after solving them you will be unable to solve any of the following fi questions. Suppose that you are given the pi and fi values for all the questions as input. Devise an efficient algorithm you can for choosing a set of questions to answer that maximizes your total points, and compute its asymptotic worst case running time as a function of n.

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