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Tliig Question: 1 pt 18 of 19 (11 complete) This Quiz: 19 p According to a surve

ID: 3372107 • Letter: T

Question



Tliig Question: 1 pt 18 of 19 (11 complete) This Quiz: 19 p According to a survey, 52% of the residents of a city oppose a downtown casino of these the casino. Complete parts (a) through (c). 52% about 6 out of 10 strongly (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) The probability that a randomly selected resident opposes the casino and strongly opposes the casino s (Round to three decimal places as needed.) (b) The probability that a randomly selected resident who opposes the casino does not strongy 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 Choos the correct answer below O A. No, this is not unusual because the probability is less than or equal to 0.05 O B. No, this is not unusual because the probability is not less than or equal to 0.05 c. Yes, this is unusual because the probability is less than or equal to 0 05. Click to select your answer(s)

Explanation / Answer

Solution:

a) The probability of event A to occur is P(A) = 0.52.

The required probability is calculated as;
P(A?B) = P(B|A) P(A)
= 0.8 * 0.52
= 0.416
The probability that a randomly selected resident who oppose the casino does and strongly oppose the casino is 0.416.

b) The required probability is calculated as;
P(Who opposes the casino does not strongly oppose the casino) = 1-P(B|A)
= 1- 0.8  
= 0.2
The probability that a randomly selected resident who oppose the casino does not strongly oppose the casino is 0.2.

c) The probability is not less than 0.05 which means that it is not unusual for a randomly selecting a resident.
B. No, this is not unusual because the probability is not less than or equal to 0.05.

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