a. What is the probability that more than three letters were dropped in both mailboxes X and Y combined? b. Given that at least two letters were dropped in mailbox Y, what is the probability of two letters being dropped in mailbox X?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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a. What is the probability that more than three
letters were dropped in both mailboxes X and Y
combined?

b. Given that at least two letters were dropped
in mailbox Y, what is the probability of two
letters being dropped in mailbox X?

The following table represents the joint
probability distribution of the number of letters
dropped daily in mailbox X and mailbox Y.
Y = 0 Y = 1 Y = 2 Y = 3 Px (X = x)
%3D
X = 0
0.112
0.07
0.03
0.04
X = 1
0.02
0.12
0.221
X = 2
0.06
0.06
0.037
0.08
X = 3
0.1
0.01
0.16
Pr (Y = y)
0.158
Transcribed Image Text:The following table represents the joint probability distribution of the number of letters dropped daily in mailbox X and mailbox Y. Y = 0 Y = 1 Y = 2 Y = 3 Px (X = x) %3D X = 0 0.112 0.07 0.03 0.04 X = 1 0.02 0.12 0.221 X = 2 0.06 0.06 0.037 0.08 X = 3 0.1 0.01 0.16 Pr (Y = y) 0.158
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