Expectation and variance of a random variable Let X be a random variable with the following probability distribution. Value x of X P(X=x) 40 0.30 50 0.10 60 0.20 70 0.15 80 0.25 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) – I Explanation Check

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O RANDOM VARIABLES AND DISTRIBUTIONS
Expectation and variance of a random variable
Let X be a random variable with the following probability distribution.
Value x of X P(X=x)
40
0.30
50
0.10
60
0.20
70
0.15
80
0.25
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) = I
%3D
Explanation
Check
263317932 23168...jpg
263573937_13382.jpg
263081366_71213.jpg
26368
Transcribed Image Text:O RANDOM VARIABLES AND DISTRIBUTIONS Expectation and variance of a random variable Let X be a random variable with the following probability distribution. Value x of X P(X=x) 40 0.30 50 0.10 60 0.20 70 0.15 80 0.25 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) = I %3D Explanation Check 263317932 23168...jpg 263573937_13382.jpg 263081366_71213.jpg 26368
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