Calculate the expected value of X, E(X), for the given probability distribution. x 1 2 3 4 P(X = x) 0.2 0.1 0.6 0.1 E(X) =
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A: E(X)=∑X.P(X)E(X2)=∑X2.P(X)V(X)=E(X2)-(E(X))2
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A: Complete the PDF ( a )P(X =2 ) =? (b) Expected value =?
x | 1 | 2 | 3 | 4 |
---|---|---|---|---|
P(X = x) | 0.2 | 0.1 | 0.6 | 0.1 |
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- Let X be a random variable with the following probability distribution. Value x of X P(X=x) -2 0.25 -1 0.20 0 0.40 1 0.10 2 0.05 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E(X) of (X). E(X)= (b) Find the variance Var X of X . Var(x)=Let X be a random variable with the following probability distribution. Value x of X P(X=x) 4 0.30 0.05 0.10 7 0.15 8 0.40 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (x) = D (b) Find the variance Var(X) of X. Var (X) = ] %3DLet X be a random variable with the following probability distribution. Value x of X 10 20 30 40 P (X=x) 0.30 0.40 0.25 0.05 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (x) = 0 (b) Find the variance Var(x) of X. Var(x) = |
- Let x be a random variable with the following probability distribution. Value x of X P(X=x) 10 0.40 20 0.20 30 0.25 40 0.10 50 0.05 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (x) = 0 (b) Find the variance Var(x) of X. Var (x) = 0I have a compound probability question.The random variable X has the following probability distribution. -1 0 P(X=x) 0.20 0.50 0.30 Calculate E[X]. Round to two decimal places.
- Let X be a random variable with the following probability distribution. Value x of X P(X=x) 0 0.25 10 0.20 20 0.10 30 0.35 40 0.10 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X . E(X)= (b) Find the variance Var (X)of X. Var (X)=Let X be a random variable with the following probability distribution. Value x of X P(X=x) -30 0.05 -20 0.20 -10 0.15 0.20 10 0.40 Complete the following. (If necessary, consult a list of formulas.) |(a) Find the expectation E (X) of X. E (x) = 0 (b) Find the variance Var(X) of X. Var(x) = 0Let X be a random variable with the following probability distribution.
- Consider the following discrete probability distribution:- X 2 4 6 8 10 P(X = x) 0.3 0.3 0.2 0.1 0.1 Find: P(X < 8) E[X] Variance (X) If Y = 2X + 5, find E[Y]V is a normal Gaussian random variable. P = (V-1)² d. Find the PDF of P. e. Find the expected value of P.Let X be a random variable with the following probability distribution. Value x of X P(X=x) 2 0.05 3 0.05 4 0.05 5 0.85 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E(X) of X. E (X) = 0 (b) Find the variance Var(X) of X. Var(x) = ☐ Check B X G