A class is composed of 70% women and 30% men. It is known that 90% of the women in the class want to attend medical school while 60% of the men do. Answer the following questions: 1. What is the probability that a randomly selected student will want to go to medical school? 2. What is the probability that a randomly selected student will not want to go to medical school given that she is a woman? 3. What is the probability that a randomly selected student is a woman given she does not plan to attend medical school?
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.
Let W denote women, M denote men and MS denote attending medical school.
Given:
1.
The probability that a randomly selected student will want to go to medical school is obtained as below:
Thus, the probability that a randomly selected student will want to go to medical school is 0.81.
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