4. Suppose we have random variables W and Q, and we know Var(W) = 25, Var(Q) = 10, and Cov(W, Q) = 2. Now, let A = 2W + 4Q. What is Var(A)?

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A: From the given information, It is given that the different samples are taken by you and your friend…

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A: Solution: From the given information,

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A:

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A: At first remind that                                      Independent ⇒UncorrelatedBut, Uncorrelated…

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A: The expected value of X is defined as  μ=∫λ∞x.f(x)dx And an estimator to be unbiased its expected…

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A: As per bartleby guidelines we can solve only first question and rest can be reposted

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A: If there exist two independent variables with degrees of freedom v1,v2 is the random variable of…

Q: 1 The discrete random variable X has Var (X) = 5 Find Var (4X – 3)

A: Given, V(X)=5

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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 .

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A:

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A: Given that a and b be two possible values of a random variable X with a > b The probability that…

Q: Suppose X, Y and Z are three independent N(0, 1) random variables and U = X, V = Y + X and W =…

A: Sol

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Q: show all solution 1. Suppose X is a random variable with E(X2)=10 and E(X)=2. Find the following:…

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Q: let X be a random variable and X-B(10, 0.81) find P(x=7)

A:

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Q: If X Z N(5,4), then what is the probability that 8 < Y < 13 where Y = 2r +1?

A: Solution: Let X~N(μ= 5, σ2= 4)

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A: The problem can be solved using the concept of basic probability.

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A: We know, any linear combination of normal distribution is a normal distribution. Here, x1 and x2 are…

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.

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Q: Let P and Q be two independent Random variables with Var(P) = 5 and Var(Q) = 4. Find Var(7P+4Q-1).

A:

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A: Solution-: Let, X- be the the random variable Given: a=1, b=7 We find, P[the random variable x…

Q: Suppose X and Y are independent random variables with X - B (n, p) and Y ~ B (m, p). Show that X +Y…

A:

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A: Let X=X1,X2,..,Xn and Y=Y1,Y2,...,Yn are independent random samples from a population.Here,  μ1 and…