Alex, Ben, and Cassie each need to pass one class to graduate. Alex needs to pass calculus. Ben needs to pass biochemistry. Cassie needs to pass Shakespeare. Suppose A is the event that Alex passes calculus. B is the event that Ben passes biochemistry. C is the event Cassie passes Shakespeare. Based upon past experience, we know that probability P(A) = .91, P(B) = .82, P(C) = .76. These events are independent from one another. a. What is the probability that all three students graduate?  b. What is the probability that none of the students graduate?  c. What is the probability that Alex passes calculus and Ben does not pass biochemistry?  d. What is the probability that at least one of the students graduate?  e. What is the probability of exactly two of the students graduate?  f. What is the probability that Alex or Ben graduates?  Add any comments below

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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.