According to a survey, 52% of the residents of a city oppose a downtown casino.

Question

According to a survey, 52% of the residents of a city oppose a downtown casino. Of these 52% about 7 out of 10 strongly oppose the casino. Complete parts (a) through (e). (a) Find the probability that a randomly selected resident opposes the casino and strongly opposes the casino. (c) Would it be unusual for a randomly selected resident to oppose the casino (a) The probability Round to three decimal places as needed.) (b) The probablity that a randomly selected resident who opposes the casino does not strongly opposes the casino is that a randomly selected resident who opposes the casino does not strongly oppose the casino. and strongly oppose the casino? Explain. a randomly selected resident opposes the casino and strongly opposes the casino is (Round to three decimal places as needed.) (c) Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose the casino? Explain. Choose the oorrect answer below A. No, this is not unusual because the probabity is less than or equal to 0 05 O B. Yes, this is unusual because the probability is not les than or equal to 0.08 O C. No, this is not unusual because the probabilty is not less than or equal to 0.0s. D. Yes, this is unusual because the probablity is less than or equal to 0.05.

Explanation / Answer

Solution:-
a) the probability that a randomly selected resident opposes the casino and strongly opposes the casino = 0.52*(7/10) = 0.364

b) the probability that a randomly selected resident who opposes the casino does not strongly oppose the casino = 0.52*(3/10) = 0.156

c)option c. No, this is not unusual because the probability is not less than or equal to 0.05.

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