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(Gi). What's the probability that Morty will get four questions correct? Keep four decimal places. (iv). What's the probability that Morty will get at least one question correct? Keep four decimal places. (v). Morty decides to also use the magic coin for the coming exam which has 50 True or False questions. How many questions in the exam can be expected to be answered correctly by Morty?

(Gi). What's the probability that Morty will get four questions correct? Keep four decimal places. (iv). What's the probability that Morty will get at least one question correct? Keep four decimal places. (v). Morty decides to also use the magic coin for the coming exam which has 50 True or False questions. How many questions in the exam can be expected to be answered correctly by Morty?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please help with iii, iv, v, and vi

ew Insert Format Tools Help Last edit was seconds ago BIUA = = - E - E E X 100% Normal text Times New... 10 7. 12. Morty didn't study and is going to take a quiz which only has True/False questions. There are five questions in the quiz. Assume all questions are answered independently. (i). Morty decides to guess the answer by his judgement. He has some knowledge on some topics while he knows nothing on the other topics. The probability that he gets the correct answer varies from question to question. I'm interested in the number of questions that Morty will get correct. Is this a binomial setting? A. Yes. B. No, because there is not a fixed number of trials. C. No, because the trials are not all independent. D. No, because there are more than two possible outcomes for each trial. E. No, because the probability of success for each trial is not the same. (ii). Jerry suggests Morty flip a fair coin to answer the question. Morty will choose True if he gets a head. Suppose Morty gets heads come up 4 times in a row in the quiz. The chance of getting a head on the next toss is A. less than the chance of getting a tail since we are due for a tail. B. equal to the chance of getting a tail since the flips are independent and the coin is fair. C. greater than the chance of getting a tail since heads seem to be coming up Rick learns that and gives Morty a magic coin. The coin somehow has a probability of 0.7 to reveal the correct answer for each question if flipped. Suppose Morty will use the magic coin for the quiz. Answer the following questions based on this setting. Show your work for the following questions. (iii). What's the probability that Morty will get four questions correct? Keep four decimal places. (iv). What's the probability that Morty will get at least one question correct? Keep four decimal places. (v). Morty decides to also use the magic coin for the coming exam which has 50 True or False questions. How many questions in the exam can be expected to be answered correctly by Morty? I (vi). Which of the following statement of the value calculated in (v) is correct? A. Morty will definitely get that number of questions correct in the exam. B. That's also the variance of the number of questions Morty can get correct. C. Suppose there are infinite number of parallel universes and infinite number of Mortys. If they take the same exam using the same coin, it is the average number of questions that will be answered correctly by them. D. None of the above. 3.
Transcribed Image Text:ew Insert Format Tools Help Last edit was seconds ago BIUA = = - E - E E X 100% Normal text Times New... 10 7. 12. Morty didn't study and is going to take a quiz which only has True/False questions. There are five questions in the quiz. Assume all questions are answered independently. (i). Morty decides to guess the answer by his judgement. He has some knowledge on some topics while he knows nothing on the other topics. The probability that he gets the correct answer varies from question to question. I'm interested in the number of questions that Morty will get correct. Is this a binomial setting? A. Yes. B. No, because there is not a fixed number of trials. C. No, because the trials are not all independent. D. No, because there are more than two possible outcomes for each trial. E. No, because the probability of success for each trial is not the same. (ii). Jerry suggests Morty flip a fair coin to answer the question. Morty will choose True if he gets a head. Suppose Morty gets heads come up 4 times in a row in the quiz. The chance of getting a head on the next toss is A. less than the chance of getting a tail since we are due for a tail. B. equal to the chance of getting a tail since the flips are independent and the coin is fair. C. greater than the chance of getting a tail since heads seem to be coming up Rick learns that and gives Morty a magic coin. The coin somehow has a probability of 0.7 to reveal the correct answer for each question if flipped. Suppose Morty will use the magic coin for the quiz. Answer the following questions based on this setting. Show your work for the following questions. (iii). What's the probability that Morty will get four questions correct? Keep four decimal places. (iv). What's the probability that Morty will get at least one question correct? Keep four decimal places. (v). Morty decides to also use the magic coin for the coming exam which has 50 True or False questions. How many questions in the exam can be expected to be answered correctly by Morty? I (vi). Which of the following statement of the value calculated in (v) is correct? A. Morty will definitely get that number of questions correct in the exam. B. That's also the variance of the number of questions Morty can get correct. C. Suppose there are infinite number of parallel universes and infinite number of Mortys. If they take the same exam using the same coin, it is the average number of questions that will be answered correctly by them. D. None of the above. 3.
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