A multiple choice test consists of 8 questions with each question having 4 possible answers

1 A multiple-choice test consists of 8 questions
A multiple-choice test consists of 8 questions. Each question has six possible answers, only one of which is correct. (a) What assumptions will you make to do this simulation? The probability of getting one question correct is independent of the probability of getting another question correct. The probability of getting a question correct is and is the same for each question. (b) How would you use a dice to model this problem? Let 1 be a correct answer and 2, 3, 4, 5 and 6 be an incorrect answer. Roll the die 8 times and record the results. One trial is 8 rolls

2 A multiple-choice test consists of 8 questions
A multiple-choice test consists of 8 questions. Each question has six possible answers, only one of which is correct. (c) How would you use the following random number table to model this problem? Let 1 be a correct answer and let 2, 3, 4, 5, and 6 be incorrect answers. Ignore 0, 7,8 and 9. One trial consists of 8 questions. Record the results. (d) How would you use the calculator to model this problem? Use the random number generator, selecting number 1 through 6, 8 at a time. Let 1 represent a correct answer and 2, 3, 4, 5 and 6 represent an incorrect answer. Record the results. One trail will consist of 8 questions.

3 A multiple-choice test consists of 8 questions
A multiple-choice test consists of 8 questions. Each question has six possible answers, only one of which is correct. Do 30 trials. Do the first five trials with the table and then do the rest with the calculator. Number of Problems answered correctly Frequency

4 A multiple-choice test consists of 8 questions
A multiple-choice test consists of 8 questions. Each question has six possible answers, only one of which is correct. (g) Based on your simulation, estimate the probability of answering at least 3 problems correctly. P(at least 3 correct) = (h) Based on your simulation, estimate the probability of answering at most 4 problems correctly. P(at most 4 correct) = (i) Based on your simulation, estimate the average number of questions a student will answer correctly by guessing. Number of Problems answered correctly Frequency

5 A multiple-choice test consists of 8 questions
A multiple-choice test consists of 8 questions. Each question has six possible answers, only one of which is correct. (j) Based on your simulation, estimate the probability of answering at least one problem correctly. P(at least 1 correct) = (k) What is the theoretical probability of answering at least one question correctly? TP(at least 1correct) = Number of Problems answered correctly Frequency

6 Passing Game A quarterback on a football team completes 50% of his passes. Suppose he passes 10 times in a game. (a) What assumptions will you make to do this simulation? The probability of completing one pass is independent of the probability of completing another pass. The probability of completing a pass is and is the same for each pass. (b) How would you use a dice to model this problem? Let 1, 2 and 3 represent a completed pass and 4, 5,and 6 represent an incomplete pass. Roll the die 10 times and record the results. One trial is 10 rolls. (c) How would you use a coin to model this problem? Let heads be a completed pass and tails be an incomplete pass. Toss the coin 10 times. One trial is 10 coin tosses.

7 Passing Game A quarterback on a football team completes 50% of his passes. Suppose he passes 10 times in a game. (d) How would you use the following random number table to model this problem? Let 0, 1, 2,3, and 4 be a complete pass and 5, 6, 7, 8, 9 be an incomplete pass. Record the results. A trial is 10 passes. (e) How would you use the calculator to model this problem? Use a random number generator, selecting 0 and 1, ten at a time. Let 0 be a completed pass and 1 be an incomplete pass. Record the results. A trail consists of 10 passes. OR Use a random number generator, selecting 0 through 9 , ten at a time. Let 0, 1, 2,3, and 4 be a complete pass and 5, 6, 7, 8, 9 be an incomplete pass. Record the results. A trail consists of 10 passes.

8 Passing Game A quarterback on a football team completes 50% of his passes. Suppose he passes 10 times in a game. Do 30 trials. Do the first five trials with the table and then do the rest with the calculator. # of passes complete Frequency

9 Passing Game A quarterback on a football team completes 50% of his passes. Suppose he passes 10 times in a game. (h) Based on your simulation, estimate the probability that he completes at least 5 passes in a game. P(at least 5 complete) = (i) Based on your simulation, estimate the probability that he completes at most 5 passes in a game. P(at most 5 complete) = # of passes complete Frequency

10 Passing Game A quarterback on a football team completes 50% of his passes. Suppose he passes 10 times in a game. (j) Based on the information given, how many passes did you expect him to complete per game? (k) Based on your simulation, estimate the average number of passes completed per game. # of passes complete Frequency

11 The probability an event will occur is 35%.

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Algebra ->  Permutations -> SOLUTION: A science test consists of 8 multiple choice questions, each of which has four possible answers. How many different ways can the 8 questions on the science test be answered?      Log On