Assume that the class consists of 45 percent freshmen, 5 percent sophomores, 20 percent juniors, and 30 percent seniors. Assume further that 50 percent of the freshmen, 30 percent of the sophomores, 20 percent of the juniors, and 20 percent of the seniors plan to go to medical school. One student is selected at random from the class. (1) What is the probability that the student plans to go to medical school? (2) If the student plans to go to medical school, what is the probability that he is a junior?
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.
Assume that the class consists of 45 percent freshmen, 5 percent sophomores, 20 percent juniors, and 30 percent seniors. Assume further that 50 percent of the freshmen, 30 percent of the sophomores, 20 percent of the juniors, and 20 percent of the seniors plan to go to medical school. One student is selected at random from the class.
(1) What is the probability that the student plans to go to medical school?
(2) If the student plans to go to medical school, what is the probability that he is a junior?
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