According to a survey, 58% of the residents of a city oppose a downtown casino.

Question

According to a survey, 58% of the residents of a city oppose a downtown casino. Of these58% about 55 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

first of all, since the value is given as a percentage we will printed that there are only 100 residents. out of those 100 residents, 55 oppose the casino.

out of the 55, 7/10 residents strongly oppose the casino. in order to find out how many residents strongly oppose the casino we first divide 55 by 10 which gives 5.5, then we multiply that by 7 which gives us 38.5, hence there are 38.5 people who strongly oppose the casino.

probability of randomly selected resident who opposes the casino and strongly opposes the casino = 38.5/100

probability of randomly selected resident who opposes the casino but does not strongly oppose the casino = (55-38.5)/100=16.5/100

it will not be unusual for a randomly selected resident to oppose the casino and strongly oppose the casino because 38.5% of residents fall in to that category

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