Let X be a random variable with the following probability distribution. Value  x  of  X P (X =x) 0 0.15 10 0.25 20 0.15 30 0.30 40 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)=

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.CR: Chapter 13 Review
Problem 24CR
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Let X be a random variable with the following probability distribution.
Value 
x
 of 
X
P (X =x)
0 0.15
10 0.25
20 0.15
30 0.30
40 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)=
 
 
 
 
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,