Question

Question 1: For the below find a.) Marginal distributions for Gender, b.) Marginal Distributions on whether they voted Republican or Democrat , c.) Conditional distribution on whether they voted Republican or Democratic given their gender. (hint: Here the row and column totals are present and we want to calculate them first).

	Democrat	Republican
Male	25	65
Female	90	30

Question #2: Let’s say one wants to select a sample of 50 randomly from a population. They want to select the first 5 individuals from the random number table line 2. What would be the first three in our sample starting with line 2?

Answer 1

1)

	Democrat	Republican
Male	25	65	90
Female	90	30	120
	115	95	210

a) Marginal distributions for Gender,

P(Male) = 90/210

P(Female) = 120/210

b.) Marginal Distributions on whether they voted Republican or Democrat ,

P(Republican) = 95/210

P(Democrat) = 115/210

c.) Conditional distribution on whether they voted Republican or Democratic given their gender.

P(Democrat|Male) = 25/90

P(Republic|Male) = 65/90

P(Democrat|Female) = 90/120

P(Republic|Female) = 30/120