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An exam has 5 questions and each of them has 4 possible answers. A student gets...

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Question

Basic Math

An exam has 5 questions and each of them has 4possible answers. A student gets 3 points
for each correct answer and loses 1 point for each wrong answer.Consider a student who
answers all questions completely at random. Let X denote the numberof correct answers and
Y the number of points of this student at the end of the test. (Anegative score is possible).
(a) Compute the mean and the standard deviation of Y , µY and σY.
(b) Compute P(µY − σY ≤ Y ≤ µY + σY ) and P(µY − 2σY ≤ Y ≤ µY + 2σY).
(c) What is the probability that the student above gets a positivescore?

Answer & Explanation Solved by verified expert
3.9 Ratings (715 Votes)
a X is the number of correct answers X takes values from 0to 5When X0 that means 0 correct answers 5 wrong    See Answer
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