a Use StatCrunch to create a contingency table that examines the relationship between recoded Variable 2 and recoded Variable 3 in your survey. Select the recoded Variable 2 as the row variable and the recoded Variable 3 as the column variable. The table you create should show just the frequencies in each cell, which means that you should not select any option from the "Display" box. Provide a full sketch of this table in the space below: [2 marks]

Consider the probability experiment of randomly selecting one member of the population that you defined in the survey undertaken in Problem 1: -

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..

Problem 6b. P(E or F) = ? [3 marks] Problem 6c. P(B and E) =? [2 marks] Problem 6d. P(C| E) ? [2 marks] Problem 6e. Are the events D, E, mutually exclusive events? Explain. [2 mark] Problem 6f Test to see if the events B, E are independent events. Show your work [3 marks