SOLUTION: A survey is being conducted to determine public opinion concerning the construction of a refuse disposal sight in an ecologically sensitive area. Fifteen residents of the neighbour
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Question 1203269: A survey is being conducted to determine public opinion concerning the construction of a refuse disposal sight in an ecologically sensitive area. Fifteen residents of the neighbouring area are to be randomly selectedand their opinion tested. From past experience it is known that 80% of people are usually opposed to this kind of action. what is the probability that 12 of the residents will be opposed to this construction?
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A survey is being conducted to determine public opinion concerning the construction
of a refuse disposal sight in an ecologically sensitive area.
Fifteen residents of the neighbouring area are to be randomly selectedand their opinion tested.
From past experience it is known that 80% of people are usually opposed to this kind of action.
what is the probability that 12 of the residents will be opposed to this construction?
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The binomial distribution with the number of trials n= 15;
probability of "success" in each individual trial p= 0.8;
and the number of "successful" trials k= 12.
Use the standard formula for the probability
P = = = 0.2501 (rounded). ANSWER