SOLUTION: Market research in a particular city indicated that during a week 18% of all adults watch a television program oriented to business and financial issues, 12 % read a publication or

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Question 317403: Market research in a particular city indicated that during a week 18% of all adults watch a television program oriented to business and financial issues, 12 % read a publication oriented to these issues and 10 % do both .
a) What is the probability that the adults fall at least one of these two groups ?
b) What is the probability that an adult in the city who watches a television program oriented to business and financial issues reads a publication oriented to these issues ?
c) Are the two events are statistically independent ? prove your answer .
Thank you .
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Market research in a particular city indicated that during a week 18% of all adults watch a television program oriented to business and financial issues,
12 % read a publication oriented to these issues and 10 % do both .
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a) What is the probability that the adults fall are in at least one of these two groups ?
P(tv or rd) = P(tv)+P(rd)-P(tv and rd) = 18+12-10 = 20%
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b) What is the probability that an adult in the city who watches a television program oriented to business and financial issues reads a publication oriented to these issues ?
P(rd |tv) = (rd and tv)/P(tv) = 0.10/0.18 = 0.56
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c) Are the two events are statistically independent ? prove your answer
Independent if P(rd | tv) = P(rd)
But P(rd | tv) = 0.56
and P(rd) = 0.12
Therefore rd and tv are not independent.
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Cheers,
Stan H.
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