yi 24 The joint probability function of Y1 and Y2 is given. 0 1/8 3/8 Y2...

Question

Question

yi 24 The joint probability function of Y1 and Y2 is given. 0 1/8 3/8 Y2 1 2/8 1/8 3 0 1/8 Find (a) Cov(Y1, Y2) and (b) the c

Answer 1

Answer #1

marginal distribution of Y1:

marginal distribution of Y2:

E(y1*Y2) =0*2*1/8+0*4*3/8+1*2*2/8+1*4*1/8+3*2*0+3*4*1/8=2.500

a)

Covar(y1,y2)=E(y1y2)-E(Y1)*E(y2)=

1/16 =

0.0625

b)

Correlation coefficient =Cov(y1,y2)/√(σy1*σy2)=

1/15 =

0.0667

Answer 2

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