Suppose that X1, X2, X3 are independent with the common probability mass function: P{Xi = 0} = 0.2, P{Xi =1} = 0.3, P{Xi = 3} = 0.5 i =1, 2,3 a. Plot the probability mass function of X2_average = (X1 + X2)/ 2 b. Determine E [X2_average] and Var [X2_average] c. Plot the probability mass function of X3_average = (X1 + X2 + X3)/ 3 d. Determine E [X3_average] and Var [X3_average]

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.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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Suppose that X1, X2, X3 are independent with the common probability mass function:

P{Xi = 0} = 0.2, P{Xi =1} = 0.3, P{Xi = 3} = 0.5 i =1, 2,3

a. Plot the probability mass function of X2_average = (X1 + X2)/ 2

b. Determine E [X2_average] and Var [X2_average]

c. Plot the probability mass function of X3_average = (X1 + X2 + X3)/ 3

d. Determine E [X3_average] and Var [X3_average] 

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