5.2.13-T Question Help A student is taking a multiple-choice exam in which each

Question

5.2.13-T Question Help A student is taking a multiple-choice exam in which each question has five choices. Assuming that she has no knowledge of the correct answers to any of the questions, she has decided on a strategy in which she will place five balls (marked A, B, C, D, and E) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are four multiple-choice questions on the exam. Complete parts (a) through (d) below. a. What is the probability that she will get four questions correct? (Round to four decimal places as needed.)

Explanation / Answer

Binomial Problems with n = 4 ; p(correct) = 1/5 ; p(wrong) = 4/5
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a) probability that she will get 4 questions correct

(P(X = 4) =nCx p^x q(n-x) = 4C4 p4 q = 4!/4! *(0!).2^4=0.0016

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