According to a survey, 51% of the residents of a city oppose a downtown casino.

Question

According to a survey, 51% of the residents of a city oppose a downtown casino. Of these 51% about 6 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

(a) Probability that a randomly selected resident opposes the casino and strongly opposes the casino = 0.51x6/10

= 0.306

(b) P( does not strongly oppose the casino | opposes the casiono ) = 1-6/10 = 4/10 = 0.4

(c) P( oppose the casino and strongly oppose the casino ) = 0.306 > 0.05 and hence it is not unusual for a randomly selected resident to oppose the casino and strongly oppose the casino

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