a. Let X be the random variable representing the duration of time before 2 balloons of the same color are shot. Find the PMF of X. b. Let Y; be the random variable representing duration of time before a new color of balloon is shot after i colors have already been shot. Compute the PMF of Y;.

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A: Note: Please repost other question as i can answer only 1 question as per my policy.   28) Given…

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A: We have, E(3X-7)=8⇒3E(X)-7=8⇒3E(X)=15⇒E(X)=153=5 Also, E(X22)=19⇒E(X2)=19×2=38 Then,…

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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

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A: Given,   a) We know that,

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A: According our policy we can answer only first part for remaining please repost the question.

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A: It is an important part of statistics. It is widely used.

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.