Question: The following contingency table shows average yield (rows) and average duration (columns) for 38 bond funds. Average Portfolio Duration Yield Short(D 1 ) Intermediate(D 2

The following contingency table shows average yield (rows) and average duration (columns) for 38 bond funds.

Average Portfolio Duration

Yield Short(D1) Intermediate(D2) Long(D3) Row Total

Small (Y1) 9 4 2 15

Medium (Y2) 2 3 3 8

High (Y3) 2 6 7 15

Column Total 13 13 12 38

For a randomly chosen bond fund, find the probability of the following:(Round your answers to 4 decimal places.)

a. The bond fund is of long duration of ?

b. The bond fund has high yield of ?

c. The bond fund has high yield given that it is of short duration of ?

d. The bond fund is of short duration given that it has high yield of ?

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