In a box, there are 400 blue marbles and 100 red marbles. When 200 marbles are randomly chosen from the box, let the random variable X represent the number of chosen blue marbles. (a) Find ?(X ≥ 102). [You may leave the answer in terms of “combinations” or “factorials”.] (b)Find ?(X = 160) using binomial approximation.
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 box, there are 400 blue marbles and 100 red marbles. When 200 marbles are randomly
chosen from the box, let the random variable X represent the number of chosen blue marbles.
(a) Find ?(X ≥ 102). [You may leave the answer in terms of “combinations” or “factorials”.]
(b)Find ?(X = 160) using binomial approximation.
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