wo random variables, x and y, with values 0, 1, or 2, have the joint probability mass fun n in the table below. x=0 x=1 x=2 y=0 0.23 0.08 0.05 y=1 0.15 0.13 y=2 0.11 0.07 0.04
wo random variables, x and y, with values 0, 1, or 2, have the joint probability mass fun n in the table below. x=0 x=1 x=2 y=0 0.23 0.08 0.05 y=1 0.15 0.13 y=2 0.11 0.07 0.04
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:1. Two random variables, x and y, with values 0, 1, or 2, have the joint probability mass function
given in the table below.
x=0
x=1
x=2
y=0
0.23
0.08
0.05
y=1
0.15
0.13
a) Calculate the probability that the product xy ≥ 1.
b) Calculate the correlation coefficient of x and y.
Show the final results at a) and b) with three significant digits.
y=2
0.11
0.07
0.04
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