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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A coin is flipped 10 times in a row. a. What is the probability that it lands heads up exactly 8 times? b. What is the probability that it lands heads up at least 8 times? c. What is the probability that it lands heads up at most 8 times
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Correct answer will be upvoted else Multiple Downvoted. Computer science. Originally the cooler contained exactly k liters of water. John concluded that the amount of water should always be at least l liters of water yet close to r liters. John will stay at the workplace for exactly t days. He realizes that each day exactly x liters of water will be utilized by his colleagues. At the start of each day he can add exactly y liters of water to the cooler, however at any point in time the amount of water in the cooler should be in the range [l,r]. Presently John wants to see if he will actually want to maintain the water level at the necessary level for t days. Assist him with answering this inquiry! Input The principal line of the input contains six integers k, l, r, t, x and y (1≤l≤k≤r≤1018;1≤t≤1018;1≤x≤106;1≤y≤1018) — initial water level, the necessary range, the number of days, daily water usage and the exact amount of water that can be added, individually. Output Print…
Probability and Statistics Consider the following experiment. You draw a square, of width 1 foot, on the floor. Inside the square, you inscribe a circle of diameter 1 foot. The circle will just fit inside the square. You then throw a dart at the square in such a way that it is equally likely to fall on any point of the square. What is the probability that the dart falls inside the circle? (Think about area!)How might this process be used to estimate the value of π?
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?
Need the right answer among choices and also an explanation of the answer.
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Solve both the questions!!!
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