Perform a second simulation of the student

Reference no: EM131789646

Simulating

Guessing on a Multiple-Choice Test Suppose a student takes a 10-question multiple-choice quiz, and for each question on the quiz there are five possible options.

Only one option is correct. Now suppose the student, who did not study, guesses at random for each question.

A passing grade is 3 (or more) correct. We wish to design a simulation to find the probability that a student who is guessing can pass the exam.

a. In this simulation, the random action consists of a student guessing on a question that has five possible answers. We will simulate this by selecting a single digit from the random number table given in this exercise.

In this table, we will let 0 and 1 represent correct answers, and 2 through 9 will represent incorrect answers. Explain why this is a correct approach for the exam questions with five possible answers.

(This completes the first two steps of the simulation summary given in Section 5.4.)

b. A trial, in this simulation, consists of picking 10 digits in a row. Each digit represents one guess on a question on the exam. Write the sequence of numbers from the first trial. Also translate this to correct and incorrect answers by writing R for right and W for wrong.

(This completes step 4.)

c. We are interested in knowing whether there were 3 or more correct answers chosen. Did this occur in the first trial? (This completes step 5.)

d. Perform a second simulation of the student taking this 10-question quiz by guessing randomly. Use the second line of the table given. What score did your student get? Did the event of interest occur this time?

e. Repeat the trial twice more, using lines 3 and 4 of the table. For each trial, write the score and whether or not the event occurred.

f. On the basis of these four trials, what is the empirical probability of passing the exam by guessing?

Reference no: EM131789646

Questions Cloud

What is meant by market segmentation : What are the six main causes of market segmentations? What are the main disadvantages for a firm to be located in a segmented market?

What are the borrowing costs to be added to cost of building : On January 1, 20X5, Russel Ltd. purchased land for $570,000 for its new head office. What are the borrowing costs to be added to the cost of the building?

Prepare december journal entries to record the company costs : Problem - Materials, labor, and overhead variances recorded and analyzed. Prepare December 31 journal entries to record the company's costs

Analysis tools to be used to track social media foot-traffic : Intended image for the brand. Analysis tools to be used to track social media foot-traffic. Expected platforms to be used 1.

Perform a second simulation of the student : Perform a second simulation of the student taking this 10-question quiz by guessing randomly.

Which is not considered part of the it infrastructure : Which of the following statements about infrastructure deployed by a company is correct? Which of the following is not considered part of the IT infrastructure?

Define change in the demand curve for widgets : The price elasticity of demand for widgets is 0.80. Assuming no change in the demand curve for widgets, a 16 percent increase in sales implies.

Competitive market to produce efficient outcomes : What two conditions must hold for a competitive market to produce efficient outcomes?

Calculate the contribution margin per unit : Calculate the contribution margin per unit. Select the formula labels and then enter the amounts to compute the contribution margin per unit

User Account

All Pages