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Feliz [49]
4 years ago
12

You earn 1 point for each correct response on a multiple choice test and lose 0.5 point for each incorrect response. Each questi

on has 4 choices, If a student just guesses, what is the expected value of the guess?
Mathematics
2 answers:
n200080 [17]4 years ago
8 0
It will be atleast 40%
Alik [6]4 years ago
7 0

You earn 1 point for each correct response on a multiple choice test and lose 0.5 point for each incorrect response. Each questions has 4 choices.

The probability that an answer is correct if the Student guesses is p=\frac{3}{4} =0.75\\

The probability that an answer is incorrect if the Student guesses is 1-p=1-\frac{3}{4} =0.25

The expected value of each guess is

p(1)+(1-p)0.5=0.75+0.25*0.5=0.875\;points

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