An extended family consists of 55 men and 45 women (children are not included) performed a laboratory test to check the existence of gene X in their DNA. The results indicated that 10% of men and 60% of women carry this gene. One adult is randomly selected from this family, find a) The probability that the selected adult carries this gene b) If the selected adult carries this gene what is the probability he is a male?

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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.