According to a survey, 57% of the residents of a city oppose a downtown casino,
ID: 3134782 • Letter: A
Question
According to a survey, 57% of the residents of a city oppose a downtown casino, Of these57% about 88 out of 10 strongly oppose the casino.Complete parts (a) through (c).
(a) Find the probability that a randomly selected resident opposes the casino and strongly opposes the casino.
(b) Find the probability that a randomly selected resident who opposes the casino does not strongly oppose the casino.
(c) Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose the casino? Explain.
Explanation / Answer
Let
O = opposes
S = strongly opposes
a)
P(S n O) = P(O) P(S|O) = 0.57*(8/10) = 0.456 [ANSWER]
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b)
Note that
P(S'|O) = 1 - P(S|O)
hence,
P(S'|O) = 1 - (8/10) = 0.2 [ANSWER]
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c)
From a), the probability is 0.456, so IT IS NOT UNUSUAL. [ANSWER]
[Unusual events have probability less than 0.05.]
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