3. If X and Y are 2 random variables such that Y = ax + b, then the variance of Y is O A. aVar(Y) OB. a2Var(Y) OC. avar(x) + b OD. a2Var(X) + b

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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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Q: 11. Suppose X and Y are random variables, c and d are constants. What is E(CX - DY)? OA. E(X) - E(Y)…

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Q: 27. Suppose X is a normal random variable with u = 500 and o = 75. Find the value of the following.…

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Q: 2,...,A3 a populati ng meanu and variance Which of the estimators have a variance of u? X1+X2++X7 7…

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Q: 2. Define the characteristic function of a random variable and state its properties.

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Q: probability distribution of two-dimensional random variable (X,Y)

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Q: 8. x -3 -1 1 3 5 P(X = x) 0.17 0.28 0.15 0.27 0.13

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Q: Let the random variable Y = a + bX. Then uY=a+b-ux

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Q: Suppose that X and Y are independent normal random variables and - XE N(6,1) Y € N(8, 2) Find P(X -…

A: We have given that , X€N(6,1)       Y€(8,2) . We have to find, P(X-Y>0) = ?

Q: 2. Write the random variables that underpin the following two prices (IA)zn and (IA)n and explain…

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Q: 14. Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable…

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Q: Find the CDF of an exponential random variable with mean 1/λ .

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Q: 4. For a linear combination of n random variables, find its expectation and variance.

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Q: 5. Let the random variable X be the number of days that a certain patient needs to be in the…

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Q: Suppose x is a normally distributed random variable with u= 28 and o = 5. a. P(x 2xg) = 5 b. P(x…

A: Suppose X is normally Distributed Random Variable with mean  μ=28 and Standard Deviation σ=5Given…

Q: 5.6.1 X and Y are independent, normal random variables with E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) =…

A: E(X)=2, V(X)=5, E(Y)=6, V(Y)=8X and Y are independent then Cov(X,Y)=0Note: According to bartelby…

Q: 2) Suppose Y = 3(X - 1)? where X is a random variable that takes on values 0,1, & 2 with probability…

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Q: If X and Y are two independent random variables, then Ox+y(@) = x (@) 0, (@) %3D

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Q: rove that the average number and the variance number (An) are equals for coherent state.

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Q: There are 5 companies, each sells a bond that will pay $20 in one month. For each company the bond…

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Q: Let X₁ N (0,3²), X₂ N(4,4²), and X3 N(-1,22) be independent random variables. Find P (X₁ + X2 +3X3…

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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: If ô, and @2 be two unbiased estimators of 0 with variances oỉ and o, respectively. What is the…

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Q: 9) We assume that X is a random variable with the values 2: 4; 6; 8 and that the distribution isp…

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

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Q: Page 143, 2.6.6*. Let X₁, X₂, and X3 be three random variables with means, variances, and…

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