52% about 7 out of 10 strongly oppose the casino. Complete parts a According to

Question

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

Explanation / Answer

Solution:- Given P(A) = 0.52

(a) The probability that a randomly selected resident opposes the casino and strongly oppose the casino is 0.364
P(A?B) = P(B|A)P(A)
= 0.7 * 0.52
= 0.364

(b)The probaility that a randomly selected resident who opposes the csasino does not strongly opposes the casino is 0.3

=> 1 - P(B|A) = 1 - 0.7 = 0.3

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

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