Let X be a random variable with the following probability distribution. Value  x  of  X P (X = x) 20 0.10 30 0.30 40 0.30 50 0.05 60 0.25 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)
20 0.10
30 0.30
40 0.30
50 0.05
60 0.25

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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