a) A discrete random variable X has a probability function (kx, x= 2,4,6 %3D P(X = x) = k(x – 2), x=8 0, otherwise Find k hence compute E(X)

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A: Assume that X and Y are two independent discrete random variables.

Q: Suppose that X and Y are random variables with E(X) = 2, E(Y) = 5 and E(X?) = 8, E(Y?) = 30 and…

A: Solution: From the given information,

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Q: Suppose that X and Y have the following joint probability function: 3r, if0<y< a<1 0, f(x, y) =…

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Q: ii) Let X be a random variable taking three values: P(X= a₁) = P₁, P(X=a₂) = P2, P(X=a3) = P3, where…

A: Given Information: Let X be a random variable taking three values: PX=a1=p1, PX=a2=p2, PX=a3=p3,…

Q: Q.2 Find the probability generating function of :1) P(X=2n) 2) P(X<n).

A: If X and Y are non-negative independent integral valued discrete random variables with respective…

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A: Step 1: Step 2: Step 3: Step 4:

Q: tes, sno W inut E [XY] = E[X] E[Y] E [g1(X) g2(X)] = E [g1 (X)] E [g2 (X)1 and

A:

Q: Find the value of the constant c. Find P(YX). Find P(Y = X).

A: The probability mass function (PMF) of random variables X and Y is pX,Y(x,y)=c(x+y)2if x∈1,2,4 and…

Q: If X is a random variable, prove that Cov(X,X) = σX².

A: Let X is a random variable.

Q: c) Suppose that X and Y are jointly continuous random variable - x f(x,y) = {o* for 0< x <1 and 1< y…

A:

Q: 3. Let the random variable X have the pmf f(x) = = a) E(X) b) E(X²) c) E(3X²2X + 4) (x+1)² for x =…

A: The provided information is as follows:The probability mass function of  is .

Q: Let X be a uniform random variable over the interval 1 to 4 and Y is exponential with a mean of 2.…

A: Given information: X~Uni(a=1,b=4) Standard deviation of X is: σX=b-a12       =4-112       =0.8660…

Q: Property 10. If X and Y are independent random variables, then E [h (X ). k (Y)] = E [h (X)] E [k…

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Q: Find the PMF of X. Find the expectations E[X] and E[XY] Find the variance of X.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Let X be a random variable. Find E(Y) where 3 Y = (X – E(X)) (a) 1 (d) Q (b) 3/4 (e) -1 (с) —3/4 -

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Q: Find the covariance between x and y

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Q: Let fx,y (x, y) be the joint probability function for the random vector (X,Y) (discrete or…

A: fx(1) = 0 f(1,y) = 0

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A: Given that   Probability mass function of Xk xk -1 1 2 P(XK=xk) 1/6 1/2 1/3 Where…

Q: X be the random Variable with the following probability distribution: X: 3 6 9 Р(X): 1/6 1/2 1/3 (d)…

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Q: 13. The loss random variable X has a probability generating function 1 P(z) = = 2-z What is E[XA 3]?

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Q: If X and Y have the joint probability distributionf(−1, 0) = 0, f(−1, 1) = 1 4 , f(0, 0) = 16 , f(0,…

A: The joint probability distribution of the random variables is given as follows:

Q: Suppose that X and Y are random variables with E(X) = 2, E(Y) = 5 and E(X") = 8, E(Y) = 30 and…

A: Solution: From the given information,

Q: prove that var (XY) == 0} 03+ 2} · o3+ 13.03

A:

Q: Let X and Y be random variables with Var (X₂) o and Var(Y₂) o for all ie {1,...,n}. Assume that each…

A: (a) The covariance between Xi and Yi is given by: Cov(Xi, Yi) = E[(Xi - E[Xi])(Yi - E[Yi])] Since…

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Q: Show that the characteristic function of a random variable X satisfies |1 - 0(t)| ≤ EtX.

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Q: what is E[XY]?

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A: The i.i.d. random variables are  and .Each follows a normal distribution on .The transformed…

Q: 1) If Var(X-Y) = 2, Var(X+ Y) = 4, E(X) = 3 and E(Y) E(XY)? = 1, than what is

A: According to bartleby experts guidelines we can answer only question. Rest can be repost.

Q: 7. A discrete random variable X taking non-negative integer values has probability gen- erating…

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Q: X and Y are discrete random variables. If var(X)= var(Y) = o², cov(X,Y)= find var(2X-3Y)

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Q: (Sec. 3.2) A student is required to enroll in one, two, three, four, five, six on the desired…

A: Note:Hey there! Thank you for posting the question. As your question has more than 3 parts,…

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