TestingLearning Task Parts 1 and 2 Revised - Protecte... . Saved v Search Layout References Mailings Review View Help ernet can contain viruses. Unless you need to edit. it's safer to stay in Protected View. Enable Editing 1) Can a 20 problem true/false test be considered a binomial setting? Why or why not? Binomial Probability When X has the binomial distribution with / observations and probability p of success on each observation, the possible values of Mare 0. 1, 2, . .., n. The probability of X successes in this setting is computed with the formula: P(X) = ( D )* ( 1 - D ) - P(X) = n! (n-DIX! |(P) (1-p)"-* 2) Still considering the T-F test mentioned above, calculate the following probabilities using the Binomial Distribution: a) What is the probability that a student got less than 4 correct? b) What is the probability that a student got exactly 8 correct? c) What is the probability that a student got between 9 and 11 correct (inclusive)? d) What is the probability that a student got 12 or more correct? e) What is the probability that a student got 16 or more correct? Focus WgLearning Task Parts 1 and 2 Revised - Protecte... . Saved V Search Richardso out References Mailings Review View Help n contain viruses. Unless you need to edit. it's safer to stay in Protected View. Enable Editing Testing Learning Task (Part 2) Suppose there is a 10 question multiple choice test. Each question has 4 answers (A. B. C, or D) 1) Can this multiple choice test be considered a binomial setting? Why or why not? 2) If you are strictly guessing. calculate the following probabilities: a) P(0 correct) = 6Co() () b) P(1 correct) = c) P(2 correct) = d) P(3 correct) = e) P(4 correct) = f) P(5 correct) = g) P(6 correct) = 3) Draw a histogram of the probability distribution for the number of correct answers on graph paper. Label the x-axis as the number of correct answers. The y-axis should be the probability of x. FocusTestingLearning Task Parts 1 and 2 Revised - Protecte... . Saved v O Search Richardson, Layout References Mailings Review View Help Internet can contain viruses. Unless you need to edit. it's safer to stay in Protected View. Enable Editing 4) Based on the distribution, how many problems do you expect to get correct? 5) Based on the distribution, how likely is it that you would pass if you were strictly guessing? (70% or above is considered passing) 0..... 6) What is the probability that you will get less than 4 correct? 7) What is the probability that you will get at least 5 correct? Now let's look at tests, such as the SAT. when you are penalized for guessing incorrectly. Suppose you have a multiple choice test with five answers (A. B. C. D. or E) per problem. The probability your guess is correct = 1/5 and the probability that your guess is incorrect = 4/5. Suppose the test that you are taking will award you one point for each question correct, but penalize you by 14 of a point for each question you answer incorrectly. Test scores will be rounded to the nearest 10 percent. 8) If you strictly guess and get exactly 4 correct and 6 incorrect, what would be your score? 1 Focus WReferences Mailings Review View Help ntain viruses. Unless you need to edit. it's safer to stay in Protected View. Enable Editing Suppose uIc test ulat you are taking will awaru you UHC PULL LUI CALL qUCSLUH CURL, DU penalize you by 4 of a point for each question you answer incorrectly. Test scores will be rounded to the nearest 10 percent. 8) If you strictly guess and get exactly 4 correct and 6 incorrect, what would be your score? 9) If you take a 10 question test and know that 8 questions are correct, should you guess the answers for the other two questions? 10) If you take a 10 question test and know that 6 questions are correct, should you guess the answers for the other 4 questions? Focus WLearning Task Parts 1 and 2 Revised - Protecte... . Saved v Search Richar It References Mailings Review View Help contain viruses, Unless you need to edit. it's safer to stay in Protected View. Enable Editing 11) Given that you answered all 10 questions and you knew that 7 were correct, answer the following questions: a) If you can eliminate one of the answer choices for each of the 3 questions for which you are guessing, what would your expected score be? b) If you can eliminate two of the answer choices for each of the 3 questions for which you are guessing, what would your expected score be? c) If you can eliminate three of the answer choices for each of the 3 questions for which you are guessing, what would your expected score be? . Focus w