21. (13; Assume that a two-dimensional random variable (X,Y) has the following joint probability distribution as X -2 0 4 -3 0.2 0.1 0.2 5 0.1 0.1 a (1) Find the value of a, (2) Find the marginal probability distributions of random variables X and Y, respectively, (3) Find the probability distribution of M = Min(X, Y), Y

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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…

Q: uppose that the joint probability distribution, f(x,y), of the discrete random variables X and Y is…

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Q: Q.2) (a) Show that the following function satisfies the properties of a joint probability mass…

A: The  joint probability mass function of random variables (X,Y) is given as:xy111.521.532.5435

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Q: 1. A random variable X has following probability distribution function: f(x) = c(x − 1)2, x =…

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Q: Q3// let X and Y have the joint probability distribution function as : . (х, у) (1,1) (1,2) (1,3)…

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Q: X and Y are independent random variables with the following distribution: Distribution of X X 1 2…

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Q: Prob. 4 (Gaussian Distribution) Consider a standard Gaussian random variable with probability…

A: INTRODUCTION :  Standard Normal Distribution:  fX(x)=12π e-x22    ; -∞<x<∞ calculation rules…

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A: We have given that the cumulative distribution of discrete random variable X.

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Q: ) Let X and Y be two discrete random variables. Their joint probability mass function is as follow…

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Q: Q. 1 (i) Find moment generating functions (mgf) of the following probability distributions. (ii)…

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Q: 7- Let X be a random variable with probability density function x=1,2,5 f(x)=8 O.w. (a) Find the…

A: Result used  Y=ax+b  E(Y)=aE(X)+b  V(Y)=a2V(X)  Var(X)=E(X2)-(E(X))2

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Q: I. A random variable X has pdf: 1 2 3 f(x) 1/8 3/8 3/8 1/8 (a) Find the cumulative distribution…

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