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Multiple-choice questions on a test each have 5 possible answers, one of which is correct. Assume that you guess the answers to 5 such questions.
a. Use the multiplication rule to find the probability that the first 2 guesses are wrong and the
last 3 guesses are correct. That is, find P(WWCCC), where C denotes a correct answer and
W denotes a wrong answer.
b. Make a complete list of the different possible arrangements of 2 wrong answers and 3
correct answers, then find the probability for each entry in the list.
c. Based on the preceding results, what is the probability of getting exactly 3 correct
answers when 5 guesses are made?
Disproportionate
Significantly uneven or out of balance in comparison to something else.
Excise Tax
A tax imposed on specific goods, services, or transactions, often aimed at reducing their consumption or generating revenue.
Polluting Firms
Companies that release pollutants into the environment as a byproduct of their activities, often subject to regulation and mitigation measures.
Excise Tax
A tax levied on specific goods or services, such as tobacco, alcohol, or gasoline, at the point of manufacture or distribution.
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