Question 5 (4 points) A student takes a multiple choice test consisting of 5 que

Question

Question 5 (4 points) A student takes a multiple choice test consisting of 5 questions where there are 4 choices per question. Also, each question is worth 20 points. Suppose the student guesses on each question. Let X be the number of questions the student gets correct. The probability distribution for X is given below. Find the probability that the student gets at most 2 questions correct. Give your answer to four decimal places. PIX-x) 0.2373 0.3955 0.2637 0.0879 0.0146 .0010 Your Answer: Answer Save 6 8

Explanation / Answer

The probability that the student gets atmost 2 questions correct = P(X=0)+P(X=1)+P(X=2) = 0.2373+0.3955+0.2637 = 0.8965.

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