Question

In: Statistics and Probability

Determine the correlation for the following joint probability distribution: x 2 4 2 4 y 3...

Determine the correlation for the following joint probability distribution:

x

2

4

2

4

y

3

4

5

6

fx,y(x,y)

1/8

1/4

1/2

1/8

a.
Correlation = 0.6387

b.
Correlation = 0.0377

c.
Correlation = 0.3737

d.
Correlation = 0.8023

Solutions

Expert Solution

Given,

x y fx,y(x,y) f(x,y)
2 3 1/8 0.125
4 4 1/4 0.250
2 5 1/2 0.500
4 6 1/8 0.125

correlation:

2 3 0.125 0.75 0.25 0.5 0.375 1.125
4 4 0.25 4 1 4 1 4
2 5 0.5 5 1 2 2.5 12.5
4 6 0.125 3 0.5 2 0.75 4.5
1 12.75 2.75 8.5 4.625 22.125

Correlation = 0.0377

Answer :

b.

Correlation = 0.0377


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