In a Math Olympiad a contestant must select 3 questions from a bowl containing 10 questions, 5 of which are easy and 5 are difficult. The contestant is given 2 minutes to answer an easy question and 4 minutes for a difficult question. Let X be the random variable associated with the total time limit (in minutes) for a contestant to answer all 3 questions he has selected. Find the probability distribution of X.
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.
In a Math Olympiad a contestant must select 3 questions from a bowl containing 10
questions, 5 of which are easy and 5 are difficult. The contestant is given 2 minutes to
answer an easy question and 4 minutes for a difficult question. Let X be the random
variable associated with the total time limit (in minutes) for a contestant to answer all 3
questions he has selected. Find the
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