A student is taking a multiple-choice exam in which each question has four choic

Question

A student is taking a multiple-choice exam in which each question has four 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 four balls (Marked A, B, C, and D) 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 six multiple-choice questions on the exam. Complete parts (a) through (d) below.

A. What is the probability that she will get six questions correct?

B. What is the probability that she will get at least five questions correct?

C. What is the probability that she will get no questions correct?

D. What is the probability that she will get no more than two questions correct?

Explanation / Answer

X is the no of questions answered right.

X is binomial with (6, 1/4)

a) P(x=6) = 0.256 = 0.000244

b) P(x>=5) = 0.00464

c) P(X=0) = 0.756=0.1780

d ) P(X<=2)

= 0.8306

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