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2. A survey states whether a household income (inc) is high or low based on the make of the cars the husband and wife cach own. There are 4 car types, dom(h) = dom(w) = {f1234}, the first two being cheap' and the last two being 'expensive'. The survey finds that, given their household income, the types of cars oOwned by a husband and wife are independent i.e. wife's car type I hasband's car typelfamily income and the following probabilities p(ine = low) = 0.8, p(w ine = low) = [0.7 0.30 0", p(wline = high) = (0.2 0.1 0.40.3", p(hline = lou) = [0.2 0.8 0 0 and p(hline = high) = [000.30.7" Compute the marginal p(w,h) and show that whilst hll winc, it is not the case that hlw.

2. A survey states whether a household income (inc) is high or low based on the make of the cars the husband and wife cach own. There are 4 car types, dom(h) = dom(w) = {f1234}, the first two being cheap' and the last two being 'expensive'. The survey finds that, given their household income, the types of cars oOwned by a husband and wife are independent i.e. wife's car type I hasband's car typelfamily income and the following probabilities p(ine = low) = 0.8, p(w ine = low) = [0.7 0.30 0", p(wline = high) = (0.2 0.1 0.40.3", p(hline = lou) = [0.2 0.8 0 0 and p(hline = high) = [000.30.7" Compute the marginal p(w,h) and show that whilst hll winc, it is not the case that hlw.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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2. A survey states whether a household income (inc) is high or low based on the make of the cars the husband and wife each own. There are 4 car types, dom(h) = dom(w) = {/1234}, the first two being 'cheap' and the last two being 'expensive'. The survey finds that, given their household income, the types of cars owned by a husband and wife are independent ie. wife's car type I husband's car type family income and the following probabilities p(inc = louw) = 0.8, p(wline low)= [0.7 0.30 0", p(wlinc= high) = [0.2 0.1 0.40.3", p(hline = low) = [0.2 0.8 0 0 and p(h|ine = high) = [000.30.7" Compute the marginal p(w,h) and show that whilst hlwine, it is not the case that hLw.
Transcribed Image Text:2. A survey states whether a household income (inc) is high or low based on the make of the cars the husband and wife each own. There are 4 car types, dom(h) = dom(w) = {/1234}, the first two being 'cheap' and the last two being 'expensive'. The survey finds that, given their household income, the types of cars owned by a husband and wife are independent ie. wife's car type I husband's car type family income and the following probabilities p(inc = louw) = 0.8, p(wline low)= [0.7 0.30 0", p(wlinc= high) = [0.2 0.1 0.40.3", p(hline = low) = [0.2 0.8 0 0 and p(h|ine = high) = [000.30.7" Compute the marginal p(w,h) and show that whilst hlwine, it is not the case that hLw.
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