Let X be a random variable with the following probability distribution. Value x of X P(X=x) 1 2 3 4 5 6 0.25 0.10 0.05 0.05 0.10 0.45 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) = X

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Expectation and variance of a random variable
Let X be a random variable with the following probability distribution.
Value x of X
1
2
3
4
5
6
P(X=x)
0.25
0.10
0.05
0.05
0.10
0.45
Complete the following. (If necessary, consult a list of formulas.)
(a) Find the expectation E(X) of X.
E (X) = Ď
(b) Find the variance Var(X) of X.
Var (X) = 0
UUD 1/5
Transcribed Image Text:Expectation and variance of a random variable Let X be a random variable with the following probability distribution. Value x of X 1 2 3 4 5 6 P(X=x) 0.25 0.10 0.05 0.05 0.10 0.45 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E(X) of X. E (X) = Ď (b) Find the variance Var(X) of X. Var (X) = 0 UUD 1/5
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