a) E(A)= 134 & Var(A)= 725
b) E(B)= 132 & Var(B)= 725
c) E(C)= -44.6 & SD(C)= 10.77
(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 ?(?)=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)= equation editor Equation Editor (use two decimals) ???(?)=Var(A)= equation editor Equation Editor (use two decimals) Part (b) Find the expected value and variance of ?B. ?(?)=E(B)= equation editor Equation Editor (use two decimals) ???(?)=Var(B)=...
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)...
3. The probability distribution of the discrete random variable X is f(x) = 2 x 1 8 x 7 8 2−x , x = 0, 1, 2. Find the mean of X. 4. The random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution: x 1 2 3 5 6 f(x) 0.03 0.37 0.2 0.25 0.15 (a) Find E(X). (b) Find E(X2 ). 5. Use the distribution from Problem 4. (a)...
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 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)-
10. Find the expected value of a random variable having the following probability distribution: x-3-1 |01|5
5 = b Let X be a random variable with the following probability distribution: Value x of X P(X=x) 30 0.35 40 0.30 0.05 0.15 0.15 Find the expectation E (x) and variance Var (x) of X. (If necessary, consult a list of formulas.) X 5 ? E (x) = 0 Var(x) = 0 Continue The workers' union at a certain university is quite strong. About 96% of all workers em workers went on strike, and now a local TV...
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