Basketball Soccer Volleyball Total Bronze 3 1 0 4 Gold 3 1 6 10 Silver 4 1 1 6 Total 10 3 7 20

Let event A refer to the 1st value of the row variable being observed, which appears in the first row of the Contingency Table (i.e. this implies that P(A) = first row total divided by 20 etc.

Let event B refer to the 2nd value of the row variable being observed, which appears in the 2nd row of the Contingency Table

Let event C refer to the 3rd value of the row variable being observed, which appears in the 3rd row of the Contingency Table

Let event D refer to the 1st value of the column variable being observed, which appears in the first column of the Contingency Table.

Let event E refer to the 2nd value of the column variable being observed, which appears in the 2nd column of the Contingency Table.

Let event F refer to the 3rd value of the column variable being observed, which appears in the 3rd column of the Contingency TablE

Based on the frequency data displayed in the Contingency Table that you created above, compute the following probabilities. Show ALL your work..

fIND. P(E or F) = ?

fIND. P(B and E) =?

fIND. p(C/E)=?

ARE THE EVENTS D,E MUTUALLY EXCLUSIVE

TEST TO SEE IF EVENT B,E ARE INDEPENDENT EVENTS