1. (2.5 pt.) A coin is flipped 10 times. Assume that all outcomes are equally likely.What is the probability that it lands on tails less than 4 times?2. (2.5 pt.) A die is loaded so that rolling a 6 is two times as likely as rolling each ofthe other five numbers. What is the probability of rolling a number greater than3 with this die?3. (2.5 pt.) A bit string of length 4 is generated at random. Assume that all outcomesare equally likely. What is the probability that it contains an odd number of 0'sgiven that its first bit is 0?4. (2.5 pt.) A sports association decides to implement a drug screening procedure totest its athletes for illegal performance-enhancing drugs. A person who does nottake the drugs will test positive with probability 0.02 and a person who does takethe drugs will test negative with probability 0.04. Assume that 3% of the athletestake performance-enhancing drugs. What is the probability that an athletetesting positive actually takes the drugs?

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Answered: 1. (2.5 pt.) A coin is flipped 10…

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter12: Review Of Calculus And Probability

Section12.5: Random Variables, Mean, Variance, And Covariance

Problem 5P

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