(1 point) ?X is a random variable having a probability
distribution with a mean/expected value of ?(?)=25.2E(X)=25.2 and a
variance of ???(?)=41Var(X)=41.
Consider the following random variables.
?=4?A=4X
?=4?−2B=4X−2
?=−2?+9C=−2X+9
Answer parts (a) through (c).
Part (a) Find the expected value and variance
of ?A.
?(?)=E(A)=
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(use two decimals)
???(?)=Var(A)=
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(use two decimals)
Part (b) Find the expected value and variance
of ?B.
?(?)=E(B)=
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(use two decimals)
???(?)=Var(B)=
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(use two decimals)
Part (c) Find the expected value and standard
deviation of ?C.
?(?)=E(C)=
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(use two decimals)
??(?)=SD(C)=
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(use two decimals)
(1 point) ?X is a random variable having a probability distribution with a mean/expected value of...
(1 point) X is a random variable having a probability distribution with a mean/expected value of E(X) = 26.8 and a variance of Var(X) = 29. Consider the following random variables. A = 5X B = 5X – 2 C = -2X +9 Answer parts (a) through (c). Part (a) Find the expected value and variance of A. E(A) = !!! (use two decimals) Var(A) = (use two decimals) blues Part (b) Find the expected value and variance of B....
A discrete random variable X is defined by the following probability distribution X 2 7 9 10 P ( X = x ) 0.08 0.12 0.38 0.42 Find the following : μ = E ( X ) E(X^2) . E ( 2X + 3 ) E ( 4X − 8 ) σ ^2 = Var ( X ) σ = SD ( X )
How to slove it Question 5. Let X and Y be random variables having expected value 0 and correlation p. Show that E Var(Y|X)| < (1 -β)Var(Y).
Let the expected value of random variable X be a, the expected value of Y be b, and the expected value of Z be c. Find E(4 − 2X + 3Y − 10Z).
Let X be a random variable with the following probability distribution: Value x of X 40 50 60 70 80 P(X=x) 0.05 0.25 0.10 0.30 0.30 Find the expectation E (X) and variance Var (X) of X. (If necessary, consult a list of formulas.) x 6 ? E (x) = 0 Var(x) = 0
Let X be a random variable with the following probability distribution: value x of X P (X= x) 40 50 60 70 80 90 0.10 0.15 0.40 0.20 0.05 0.10 Find the expectation E (X) and variance Var(X) of X. (If necessary, consult a list of formulas.) Var(x)-
Let x be a random variable with the following probability distribution: Value x of X -2 - 1 0 0 0 1 0 P(X-X) 0.10 .30 .20 .40 Find the expectation E (x ) and variance Var (x) of X. (If necessary, consult a list of formulas.) ( x 5 ? Var (x) - 0
Let X be a random variable with the following probability distribution: Value x of X P(X=x) 0.15 0.10 3 0.05 0.05 0.30 0.35 Find the expectation E (X) and variance Var (X) of X. (If necessary, consult a list of formulas.) E (x) = 0 x 6 ? var(x) -
4. Suppose that X is a random variable having the following probability distri- bution function - 0 if r<1 1/2 if 1 x <3 1 if z 2 6 (a) Find the probability mass function of X. (b) Find the mathematical expectation and the variance of X (c) Find P(4 X < 6) and P(1 < X < 6). (d) Find E(3x -6X2) and Var(3X-4).
The probability distribution of a random variable X is given below. 35 Given the mean -4.97 Find the variance (Var(X) and the standard deviation, respectively. a) [1738.95, 41.70] b) (65.33, 8.08 c) [1180.00, 34.35 d) 19.00, 3.00] e) 150.00, 7.07 f None of the above. The probability distribution of a random variable X is given below. 35 Given the mean -4.97 Find the variance (Var(X) and the standard deviation, respectively. a) [1738.95, 41.70] b) (65.33, 8.08 c) [1180.00, 34.35 d)...