Let X be a random variable with the following probability distribution. Value  x  of  X P (X=x) 10 0.40 20 0.45 30 0.10 40 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)=

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 54E
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Let X be a random variable with the following probability distribution.
Value 
x
 of 
X
P (X=x)
10 0.40
20 0.45
30 0.10
40 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)=
 
 
 
 
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Pearson Addison Wesley,