This contingency table shows average yield (rows) and average duration (columns) for 38 bond ...

  

This contingency table shows average yield (rows) and average duration (columns) for 38 bond  funds. For a randomly chosen bond fund, find the probability that:
a. The bond fund is long duration.
b. The bond fund has high yield.
c. The bond fund has high yield given that it is of short duration.
d. The bond fund is of short duration given that it has high yield.
 

short(D1) interm(D2) long(D3) total
small(y1) 8 2 0 10
Medium(y2) 1 6 6 13
hight (Y3) 2 4 9 15
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11 12 15 38