You are given the task of sampling the household size of customers at a grocery store and

Question:

You are given the task of sampling the household size of customers at a grocery store and the number of bananas they buy.

(a) You collect 150 observations. The relative frequency is f(x = 4jy = 2) = 1/18 and the absolute frequency is h(x = 2jy = 3) = 30. Based on this information, fill in the missing cells below. 0 bananas (x1) 1 bananas (x2) 2 bananas (x 3) = 23 bananas (x = 4) Sum (y) 1 person (y = 1) 20 33 2 persons

(b) The data you collect yields the following contingency table. Fill in the marginal frequencies and the expected counts under statistical independence. In the parentheses, provide the expected counts given the actual number of observations. 0 bananas (x = 1) 1 Banana (x = 2) 2 bananas (x 3) 3 bananas (x = 4) = Sum (y) 1 person (y = 1) 40 ( 103 5)