A dean has found that 62% of entering freshmen and 78% of community college transfers eventually graduate. Of all entering students, 73% are entering freshmen and the remainder are community college transfers. a. What is the probability that a randomly chosen entering student is an entering freshman who will eventually graduate? b. Find the probability that a randomly chosen entering student will eventually graduate. c. What is the probability that a randomly chosen entering student either is an entering freshman or will eventually graduate (or both)? d. Are the events “eventually graduates” and “enters as community college transfer” statistically independent?
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.
A dean has found that 62% of entering freshmen and 78% of community college transfers eventually graduate. Of all entering students, 73% are entering freshmen and the remainder are community college transfers.
a. What is the
b. Find the probability that a randomly chosen entering student will eventually graduate.
c. What is the probability that a randomly chosen entering student either is an entering freshman or will eventually graduate (or both)?
d. Are the
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