Scalia Law is trying to gain a better understanding of the determinants of bar passage rates. Suppose that they the following facts were uncovered: The probability with which a randomly selected Scalia graduate has received an A in Economic Foundations of Legal Studies (EFLS) is 0.3;  The probability with which a randomly selected Scalia graduate has passed the bar exam is 0.81;  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: X = “a randomly selected Scalia graduate having received an A in EFLS”; and 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(X|Y) = 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(X|Y) = 0.243.   E)  None of the above

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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:

X = “a randomly selected Scalia graduate having received an A in EFLS”; and
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(X|Y) = 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(X|Y) = 0.243.

 

E) 

None of the above

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