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Click here to see ALL problems on PermutationsQuestion 969131: A multiple choice test has 10 questions. Each question has four answer choices. a. What is the probability a student randomly guesses the answers and gets exactly six questions correct?b. Is getting exactly 10 questions correct the same probability as getting exactly zero correct? Explain. c. Describe the steps needed to calculate the probability of getting at least six questions correct if the student randomly guesses. You do not need to calculate this probability!It would be greatly appreciated if you could show work as to how to solve these, thanks! Answer by Edwin McCravy(18868)
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(Show Source): You can put this solution on YOUR website! Binomial probability:The probability of getting exactly x successes out of n trials, whenthe probability of getting 1 success in 1 trial is p is given by theformula .Notice the is also written as nCx or C(n,x) orthe number of combinations of n things taken x at a time.This can also be found with a TI-83 or 84 graphing calculator, press2ND VARS to find binompdf(n,p,x). Put in numbers for n,p, and x.A multiple choice test has 10 questions. Each question has four answer choices. a. What is the probability a student randomly guesses the answers and gets exactly six questions correct?That"s the binomial probability of getting exactly 6 successes in 10 trials withthe probability of 1 success in 1 trial of 1/4.b. Is getting exactly 10 questions correct the same probability as gettingexactly zero correct? Explain.No. Although both are very unlikely, it is 3 times as likely to guess an answerincorrectly than to guess it correctly. So it is more likely to guess them allincorrectly than all correctly. (However, in a true-false test, they would bethe same.) c. Describe the steps needed to calculate the probability of getting at leastsix questions correct if the student randomly guesses. You do not need tocalculate this probability!You would do these steps:1. Calculate the probability of getting exactly 6 correct.2. Calculate the probability of getting exactly 7 correct.3. Calculate the probability of getting exactly 8 correct.4.

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Calculate the probability of getting exactly 9 correct.5. Calculate the probability of getting all 10 correct.Then you would add them all up and you"d get: .0197277069Edvictory
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