Suppose that 6 out of the 17 doctors in a small hospital are General Practitioners, 5 out of the 17 are under the age of 40, and 3 are both General Practitioners and under the age of 40. What is the probability that you are randomly assigned a General Practitioner or a doctor under the age of 40? Enter a fraction or round your answer to 4 decimal places, if necessary.
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.
Solution:
Let A be the event that the doctors in a small hospital re General practitioners and B be the event that doctors are under the age of 40.
From the given information,
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