Let Y be a discrete random variable with generating function 4 Gy (s) = 6 – What is Var(Y) (in decimal)? Answer:

Q: The PMF of a discrete random variable X is given below; where a is an integer, and k is an unknown…

A: Given :  The PMF of a discrete random variable X is given below; where a is an integer, and k is an…

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Q: Let Y be a random variable with moment generating function given by m (t) = (cl*#*)* (3X+4t²)' 3…

A: From the relation of Moment Generating function and Moment  we know E(Yr)=drM(t)dtr,at t=0 , for any…

Q: Q1\A/ Consider a discrete random variable X whose pmf is given by: Find: 1-E[ X ] and Var( X )? f(x)…

A: Given p.m.f. is  f(x)=13                    x=-1,0,1     =0                        otherwise

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Q: Let Y be a discrete random variable with probability mass function (pmf), p (y). The mean of Y can…

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Q: b) Consider a random variable K with parameter p, whose probability mass function (PMF) is given by…

A: Since you have posted more than one question we will solve first question for you according to our…

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Q: 1. Let X be a Poisson random variable with parameter A. Derive E(X) and E(2x)

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Q: 7. Let X and Y be two independent exponential random variables with pdf's fx(x) = (-) e-x/2 x>0 And…

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Q: Let X be a random variable with PDF fx(x) = x > 0, %3D DDR

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

Q: b. Find E[X(X – 1)] for Poisson random variable. Use the result to find the variance of X.

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Q: Let X be a random variable whose moment generation function is 1 given by Mx(t) - (10+ 2e)2, teR.…

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Q: X and Y be two discrete random variables with a joint p en by X-0 X-2 Y=1 0.03 0.02

A: to find P(X&gt;0 and Y≤3)

Q: let x be a random variable with moment generating function Mx(t)=(0.6 + 0.4e^t)^20 then the variance…

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Q: B) Let the random variable X have the moment generating function e3t M(t) 1- t? for -1<t < 1, What…

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Q: Let X - Exponential (A) and Y ~ Exponential (µ) be independent random variables. Find P (X < Y).

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Q: (b) Let Z be a discrete random variable with E(Z) = 0. Does it necessarily follow that E(Z³) = 0? If…

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Q: Let X be a random variable with p.d.f., (2e2(1-x),x>1 0 ,x<1. (1) Find the moment generating…

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Q: O Let X be a Poisson random variable with parameter 0, then E (X²) = 1 .

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Q: A continuous random variable has a p.d.f. ſkx³(1 – x)²0 < x < 1 | f(x) = Ootherwise

A: Given,f(x)={kx3(1-x)2  ;0&lt;x&lt;10                   ;otherwise

Q: Let X be a random variable with E[X]=2, Var(X)= 4. Compute the expectation and variance of 3– 2X .

A: Solution-: Given: E(X)=2, Var(X)=4 Our aim to find, (a) E(3-2X)=? and  (b) Var(3-2X)=?

Q: what is E[XY]?

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Q: Let X be a random variable with p.d.f. 3e-3x f(x) = { 0 <x<00 , find E(x) O.w

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Let Y be a random variable with the following moment generating function m (t) = ㅎe-2 + jet+et + e²t…

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Q: Find a z value such that the probability of obtaining a larger z value is only 0.15

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Q: Derive the expected value of Y? Suppose that a random variable Y is uniformly distributed on an…

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Q: Let Z be a discrete random variable with ?(Z)0. Does it necessarily follow that E(Z^3)=0? If yes,…

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Q: Let xbe a Geometric random variable with p%3= 0.6. Find the mgf at zero MO)

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Q: Use the uniqueness of moment-generating functions to give the distribution of a random variable with…

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Q: Let Y be a discrete random variable with generating function 4 Gy (s) 6 - s s2 What is E(Y) (in…

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Q: Suppose we have a continuous random variable over -2 <x<5. What is the mean of X? Round-off your…

A: Explanation:Here given the continuous random variable and find the mean  In this use the  uniform…

Q: Let X be a discrete random variable with expectation -0.5 and variance 3. Let Y=−2X+8, find the…

A: The expectation and variance of discrete random variable X are -0.5 and 3, respectively.

Q: Define the random variable X as the proportion of voters in a certain county that approve of a ew…

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Q: 2. Prove that if X is a discrete random variable, a and b are constants, and Y = aX + b, then My (t)…

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Q: Find a z value such that the probability of obtaining a larger z value is only 0.15.

A: From the provided information, The probability of obtaining a larger z value is 0.15. That is P (Z…

Q: (a) Show that the random variable (2/0) E X, has a x2-distribution with 2n degrees of freedom.

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Q: (6) Suppose X1 and X2 are independent standard normal random variables. Define random variables Y, =…

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Q: Let X be a random variable with probability Law P (X =r) = q-", K for r=1,2,3... 0, Find the moment…

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Q: Suppose we have a continuous random variable over -2 <x< 5. What is the mean of X? Round-off your…

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