a) Find the expectation E (X) of X. E (x) = [] %3D b) Find the variance Var(X) of X. Var(X) Var (X) = 0

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Let X bu
ndom variable with the following probability distributic
Value x of X P(X=x)
30
0.05
40
0.30
50
0.10
60
0.20
70
0.20
80
0.15
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) = ]
Transcribed Image Text:Let X bu ndom variable with the following probability distributic Value x of X P(X=x) 30 0.05 40 0.30 50 0.10 60 0.20 70 0.20 80 0.15 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) = ]
Expert Solution
Step 1

Consider the table , 

x P(x) x*P(x) x^2*P(x)
30 0.05 1.5 45
40 0.3 12 480
50 0.1 5 250
60 0.2 12 720
70 0.2 14 980
80 0.15 12 960
Total 1 56.5 3435

Our aim is to find the (a) E(X) (b) Var(X)

 

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