Let X be a random variable with the following probability distribution. Value x of X P(X=x) -30 -20 -10 0 10 0.10 0.45 0.20 0.10 0.15 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) = 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
-30
-20
-10
0
10
P(X=x)
0.10
0.45
0.20
0.10
0.15
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) =
X
M
Transcribed Image Text:Let X be a random variable with the following probability distribution. Value x of X -30 -20 -10 0 10 P(X=x) 0.10 0.45 0.20 0.10 0.15 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) = X M
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