4) Consider the following joint pdf for made-up data on PARTY by GENDER. You may want to enter these into a spreadsheet for this exercise GENDER Men=0 Women=1 Democrat=1 0.15 0.29 Republican=2 0.30...

Extracted text: 4) Consider the following joint pdf for made-up data on PARTY by GENDER. You may want to enter these into a spreadsheet for this exercise GENDER Men=0 Women=1 Democrat=1 0.15 0.29 Republican=2 0.30 0.10 Other=3 0.11 0.05 a) Find the marginal (i.e. the unconditional) distribution of PARTY. b) Find the marginal (i.e. the unconditional) distribution of GENDER. c) Use B.15 to find the conditional pdf: f GENDER | PARTY - for both gender outcomes conditional on all three possible party outcomes. What does this conditional pdf tell us? Make sure you find values d) Are GENDER and PARTY independent random variables? Give an example of a calculation based on equation B.12 that tells us whether they are independent or not and explain how to interpret it. PARTY