# SOLUTION: A True-False test has 10 questions with each having 2 possible answers with one correct. Assume a student randomly guesses the answers to every question. A. What is the probabil

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: A True-False test has 10 questions with each having 2 possible answers with one correct. Assume a student randomly guesses the answers to every question. A. What is the probabil      Log On

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 Question 253367: A True-False test has 10 questions with each having 2 possible answers with one correct. Assume a student randomly guesses the answers to every question. A. What is the probability of getting exactly 5 correct answers? B. What is the probability of getting less than 6 correct answers? This is what I have come up with so far n=10 p=2 =.05 for p p(5) + P(10) =.000+ P(6) + P(10) =.000+Answer by stanbon(57347)   (Show Source): You can put this solution on YOUR website!A True-False test has 10 questions with each having 2 possible answers with one correct. Assume a student randomly guesses the answers to every question. ---------- P(correct) = 1/2 ; P(wrong) = 1/2 ------------------------------------ A. What is the probability of getting exactly 5 correct answers? Binomial Problem with n = 10, p = 1/2 , x = 5 P(x=5) = 10C5*(1/2)^5*(1/2)^5 = 252*0.00097656 = 0.2461 ------------------------------------------------------------------ B. What is the probability of getting less than 6 correct answers? P(0<= x <=5) = binomcdf(10,1/2,5) = 0.6230.. ---------------------------------------------------------- Cheers, Stan H.