Let X be a random variable with p.d.f f(x) = x = 1,2,3, . .Find the %3D mode. O 24 1,3 O 1.2 2,3

Q: 2. Let X be a random variable. Is it possible that px,x² = 1 for some X? What about PX,x² = -1?

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A: Solution: From the given information,

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A: Solution : V and W are random variable  If V and W are independent  so E(VW) = E(V).E(W) Cov(VW) =…

Q: Let X be a random variable with p.d.f. 0<x<0 S(x) = • ,find E(e3) O.w

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: . Then Var(X+Y+Z) is equal to:

A: Here x , y and z are independent variables  So covariance between them are zero

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Q: Consider three types of claims: A, B and C. Let XẠ denote the rand variable for the size of a…

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Q: Find the variance of probability function 1 2 4 P(X) 0,25 0,15 0,10 0,25 0,25 21 - O A) 6,80 O B)…

A: Here, X P(X) X.P(X) X2 X2.P(X) 0 0.25 0 0 0 1 0.15 0.15 1 0.15 2 0.1 0.2 4 0.4 3 0.25…

Q: 4. Determine the values of c so that the following functions represent joint probability…

A: f(x,y)=c  ,  for x=-2,0,2  ; y=-2 , 3

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A: Given,Var(2X-Y)=3Var(X+3Y)=5and X,Y are independent

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A: Given : X = 1; probability = 1/3 X=0; probability = 2/3 Y=2 ; probability = 3/4 Y=-3 ; probability =…

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Q: It a and I are positive integers where a ≤ b and X is a random variable that takes valves with equal…

A: It a and b are positive integers where a ≤ b and X is a random variable that takes values with equal…

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A: Y1=X1X2  then, possible values of y1 is as follows: Y1 1 2 3 4 6 9 Situations (Total…

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A: Following are the two concepts that are used to explain the two variables. These are expected value…

Q: Let X and Y be independent, taking on {1,2,3,4,5} with equal probabilities.  E((X+Y)2)=?

A: We have given that X and Y be independent random variables.   The distribution of X is: P( X=x ) =…

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A: Normal distribution  mean , median and mode are eqaul

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Q: Let X be a random variable with p.d.f f(x): mode. x = 1,2,3, ... .Find the O 2,4 O 1.3 O 1,2 2,3

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Q: 4. Let X be a random variable and c and d two real constants. Without recurring to variance…

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Q: 3. Let X₁, X2,..., Xn be iid random variables with mean and variance o2. Define the random variable…

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Q: Q2 Suppose Y is a discrete random variable such that P(Y= y) = K(1-a)-1,0 < a <1 for y = 1,2,... co.…

A: P(Y=y)=k(1-a)y-1 ; y=1,2,...

Q: If the variance of X is 0 then the covariance between X and Y

A: Lets analyze the question.

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Q: Let X1, X2,...,X3 denote a random sample from a population having mean u and variance o2. 302 Which…

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Q: fx, (x) = 0.1 0.95-r

A: The probability distribution of the random variable X1,X2 and X3 is given as- fX1x=5x×0.1x×0.95-x,…

Q: if x1, X2, ., X, be a random sample from Bin(4,0). ........ is T = x UMVUE ? Justify your answer.

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