Let X1,..., be a sequence of random variables with 1 P(X, = +) = 1 P(X, = 0) = 1 - n2 %3D 2n2 (a) What is the mean and the variance of Xn. (b) Show that Xn converges in probability to 0.
Let X1,..., be a sequence of random variables with 1 P(X, = +) = 1 P(X, = 0) = 1 - n2 %3D 2n2 (a) What is the mean and the variance of Xn. (b) Show that Xn converges in probability to 0.
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 42CR
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Can you please help with problem attached?
![Let X1,..., be a sequence of random variables with
1
P (X, = 0) = 1 -
n2 >
1
P(X, = ±) =
2n2
(a) What is the mcan and the variance of Xn.
(b) Show that Xn converges in probability to 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15feef40-32fb-4401-88ed-794608a5d767%2F5cad7987-5806-4ca2-85ff-9dbe75877326%2F1r76p9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let X1,..., be a sequence of random variables with
1
P (X, = 0) = 1 -
n2 >
1
P(X, = ±) =
2n2
(a) What is the mcan and the variance of Xn.
(b) Show that Xn converges in probability to 0.
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