Suppose there are three balls in a box. On one of the balls is the number 1, on another is the number 2, and on the third is the number 3. You select two balls at randomandwithoutreplacementfromtheboxandnotethetwonumbersobserved. The sample space S consists of the three equally likely outcomes {(1,2),(1,3),(2,3)} (disregarding order). Let X be the sum of the two balls selected.(a) What is the distribution for X? (b) What is the probability that the sum is at least 4? (c) What is the mean 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.
Suppose there are three balls in a box. On one of the balls is the number 1, on another is the number 2, and on the third is the number 3. You select two balls at randomandwithoutreplacementfromtheboxandnotethetwonumbersobserved. The
(a) What is the distribution for X? (b) What is the probability that the sum is at least 4? (c) What is the mean of X?
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