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
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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”?
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