Suppose a random variable X has range {−3, −1, 1, 2}. Its proba- bility distribution (probability mass function) is given by P (X = −3) = 0.25 P (X = −1) = 0.25 P (X = 1) = 0.45 P (X = 2) = 0.05 a) Find E(X). b) Find E(X^2). b) Find V (X). b) Find V (X^2).
Suppose a random variable X has range {−3, −1, 1, 2}. Its proba- bility distribution (probability mass function) is given by P (X = −3) = 0.25 P (X = −1) = 0.25 P (X = 1) = 0.45 P (X = 2) = 0.05 a) Find E(X). b) Find E(X^2). b) Find V (X). b) Find V (X^2).
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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Suppose a random variable X has range {−3, −1, 1, 2}. Its proba- bility distribution (probability mass function ) is given by
P (X = −3) = 0.25 P (X = −1) = 0.25 P (X = 1) = 0.45 P (X = 2) = 0.05
a) Find E(X).
b) Find E(X^2).
b) Find V (X).
b) Find V (X^2).
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