Let A be a 3 x 3 matrix with independent and identically distributed entries (1). aij ~ Bernoulli i.e. each entry in A is 1 with probability 1/2, and 0 with probability 1/2, independently. k What is the probability that A has exactly 2 non-zero entries? Leave your answer as a simplified fraction. It may help to recall that = n! k!(n - k)!*
Let A be a 3 x 3 matrix with independent and identically distributed entries (1). aij ~ Bernoulli i.e. each entry in A is 1 with probability 1/2, and 0 with probability 1/2, independently. k What is the probability that A has exactly 2 non-zero entries? Leave your answer as a simplified fraction. It may help to recall that = n! k!(n - k)!*
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let A be a 3 x 3 matrix with independent and identically distributed entries
(¹)
i.e. each entry in A is 1 with probability 1/2, and 0 with probability 1/2,
independently.
aij Bernoulli
It may help to recall that
~
What is the probability that A has exactly 2 non-zero entries? Leave your
answer as a simplified fraction.
(3) =
n!
k! (n - k)!
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