SOLUTION: a student is taking a multiple choice exam in whihc each question has 4 choices. there are 5 multiple choice questions on the exam. What is the probability that she will get: 1) 5

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Question 670370: a student is taking a multiple choice exam in whihc each question has 4 choices. there are 5 multiple choice questions on the exam. What is the probability that she will get:
1) 5 questions correct
2) At least four questions correct
3) no questions correct
4) no more than two questions correct?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a student is taking a multiple choice exam in whihc each question has 4 choices. there are 5 multiple choice questions on the exam. What is the probability that she will get:
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Binomial Problems with n = 5 ; p(correct) = 1/4 ; p(wrong) = 3/4
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1) 5 questions correct
Ans: (1/4)^5 = 0.0009766
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2) At least four questions correct
Ans: P(4<= x <=5) = 1- p(0<= x <= 3) = 1 - binomcdf(5,1/4,3) = 0.0156
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3) no questions correct
Ans: (3/4)^5 = 0.2373
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4) no more than two questions correct?
P(0<= x <=2) = binomcdf(5,1/4,2) = 0.8965
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Cheers,
Stan H.