0.75 points A survey of a large number of buyers at a suburban Sam\'s Club gave
ID: 3370067 • Letter: 0
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0.75 points A survey of a large number of buyers at a suburban Sam's Club gave the proportions of buyers falling in the following income-residential categories Income Residential Area $10,000 $19,999 S20,000 $39,999 S40,000 and over Urban Suburban Farm 30 10 10 105 170 40 50 75 10 If a single buyer is selected from among all buyers in the region in which the survey is conducted, what is the probability that the buyer: . is from the suburban area? ANSWER: (report your answer to 4 decimal places, using conventional rounding rules) has an income of at least $20,000 per year? ANSWER: has an income between $10,000 $19,999 per year, given that the buyer lives on a farm? ANSWER lives on a farm, given that the buyer has an income between $10,000-$19,999 per year? ANSWER: is from a suburban area or has an income of at least S40,000 per year? ANSWER: (report your answer to 4 decimal places, using conventional rounding rules) (report your answer to 4 decimal places, using conventional rounding rules) (report your answer to 4 decimal places, using conventional rounding rules) (report your answer to 4 decimal places, using conventional rounding rules) does not live on a farm? ANSWER: (report your answer to 4 decimal places, using conventional rounding rules) . is from an urban area and has an income below $20,000 per year? ANSWER: (report your answer to 4 decimal places, using conventional rounding rules)Explanation / Answer
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Wherever, conditional formula is there use formula = P(A|B) = P( A & B)/P(B)
P(A or B) =P(A)+P(B) - P(A & B)
a. P(is from suburban) = (10+170+75)/(30+105+50+10+170+75+10+40+10) = .5100
b. P(has income of atleast 20000) = (500-30-10-10)/500 = .9000
c. P(income between 10000 and 19999| lives on a farm) = 10/(10+40+10) = .1667
d. P(lives on farm | income between 10000 and 19999) = (10)/(10+10+30) = 1/5 = .2000
e. P(is form suburban or income atleast 40000) = (10+170+75+50+75+10-75)/(500) = .6300
f. P(doesn't live on farm) = (500-10-40-10)/500 = .8800
g. P(is from urban area and has income below 20000) = 30/500 = .0600
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