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 8 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

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

(B) Yes, this is unusual because the probability is less than or equal to 0.05.

(C) Yes, this is unusual because the probability is not less than or equal to 0.05.

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

Explanation / Answer

a)probability that a randomly selected resident opposes the casino and strongly opposes the casino.

=0.51*(8/10)=0.408

b)

probability that a randomly selected resident who opposes the casino does not strongly oppose the casino =P(not oppose the casino strongly|opposes) =1-8/10=0.2

c)

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

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