Question: Bivariate Probability Distribution X 1 2 3 Y 1 10 12 20 2 5 12 41 X= Quality 1= low 2=Medium 3=high Y= Price 1=Low

Bivariate Probability Distribution

X

1

2

3

Y

1

10

12

20

2

5

12

41

X=

Quality

1= low

2=Medium

3=high

Y=

Price

1=Low

2=Medium

a) Build a joint probability table based on this dataset

b) What is the probability of online service with high quality and medium price

c) What is the expected average quality? What is the expected average price?

d) What is the correlation between quality and price? Does the correlation make sense to you? What correlation did you expect?

I am struggling to produce the correct distribution if anyone could help that would be great thank you!

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