An urn contains four balls numbered 1, 2, 3, and 4. Iftwo balls are drawn from the urn at random (that is, eachpair has the same chance of being selected) and Z is thesum of the numbers on the two balls drawn, find (a) the probability distribution of Z and draw a histo-gram; (b) the distribution function of Z and draw its graph.
An urn contains four balls numbered 1, 2, 3, and 4. Iftwo balls are drawn from the urn at random (that is, eachpair has the same chance of being selected) and Z is thesum of the numbers on the two balls drawn, find (a) the probability distribution of Z and draw a histo-gram; (b) the distribution function of Z and draw its graph.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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.
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Question
An urn contains four balls numbered 1, 2, 3, and 4. If
two balls are drawn from the urn at random (that is, each
pair has the same chance of being selected) and Z is the
sum of the numbers on the two balls drawn, find
two balls are drawn from the urn at random (that is, each
pair has the same chance of being selected) and Z is the
sum of the numbers on the two balls drawn, find
(a) the probability distribution of Z and draw a histo-
gram;
gram;
(b) the distribution function of Z and draw its graph.
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