Scalia Law is trying to gain a better understanding of the determinants of bar passage rates. Suppose that they the following facts were uncovered: 1. the probability with which a randomly selected Scalia graduate has received an.A in Economic Foundations of Legal Studies (EFLS) is 0.3; 2. the probability with which a randomly selected Scalia graduate has passed the bar exam is 0.81; 3. the probability with which a randomly selected Scalia graduate has received an A in EFLS and has passed the bar exam is

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Scalia Law is trying to gain a better understanding of the determinants of bar passage rates. Suppose that they the following facts were uncovered: 1. the probability with which a randomly selected Scalia graduate has received an.A in Economic Foundations of Legal Studies (EFLS) is 0.3; 2. the probability with which a randomly selected Scalia graduate has passed the bar exam is 0.81; 3. the probability with which a randomly selected Scalia graduate has received an A in EFLS and has passed the bar exam is 0.27. Which of the following statements is true regarding the events X and Y, defined as follows: o X= *a randomly selected Scalia graduate having received an A in EFLS", and o Y=*a randomly selected Scalia student having passed the bar exam"? A. X and Y are independent events, and this can be verified by noting that P(X/Y) = 0.3. B. X and Y are not independent events, and this can be verified by noting that P(XIY) = 0.3. C. X and Y are not independent events, and this can be verified by noting that P(X/Y) = 333. D. X and Y are not independent events and this can be verified by noting that P(XIY) = 0.243. E. None of the above
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