Q2 Let X and Y be discrete random variables with given joint PMF P (x,y) Pa (x,y) O1/15 201/15 O/15 102/15 2/15 3/15 2/15 -101/15 1/15 a) Find and sketch marginal PMFS p, (x) and P;(y) by using proper notation. b) Are X and Y independent? Justify your answer. c) Find the conditional PMF pPrx (y|0) by using proper notation. Sketch this conditional PMF.

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A: Given : Claim : A higher percentage of males who are Democrat than females who are Democrat.

Q: iv) E[E[Y²|X]]_ (EY)²

A: Note: As per you request, we have helped you solve only Part (iv) of the question.

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A: From the provided information, U~U(0, 14) a = 0 and b = 14

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A: Given that, the CDF of a random variable X is given the function                      F(x)=cx23x2+x…

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A: We have given the following statement.

Q: 3- Show that, if the random variables X and Y are N(0 6,0",r) , thên 1 a) E{ fy(y|x)} = =exp{- 20…

A:

Q: Exercise 2D 1 X and Y are independent random variables such that X~ Po(3.3) and Y ~ Po(2.7). Find: b…

A: if X and Y are independent and representing Poisson distributions  X ~ P(3.3)Y ~ P(2.7)then…

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A:

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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.