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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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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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