Multiple-Choice Questions on a Test Each Have 5 Possible Answers

question 58

Essay

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?

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Definitions:

Activity-Based Costing

A costing technique that determines the cost of a product based on the activities involved in its production and the extent to which the product uses those activities.

Manufacturing Overhead

Costs related to the production process that are not directly tied to the product, such as rent for the manufacturing space, utility costs, and salaries for manufacturing management.

Traditional Costing System

A costing method that assigns manufacturing overhead costs to products based on volume metrics such as machine hours or labour hours.

Direct Labor-Hours

The entirety of hours committed by personnel directly involved in the process of production.