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lawyer [7]
3 years ago
15

Can someone please help with this one, please?

Mathematics
1 answer:
lys-0071 [83]3 years ago
8 0
687-15=672 672/24=28
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A student answers a multiple-choice examination question that offers four possible answers. Suppose the probability that the stu
Salsk061 [2.6K]

Answer:

The value is P(A | W) =  0.941

Step-by-step explanation:

From the question we are told that

The probability that the student knows the answer to the question is P(A) =  0.8

The probability that that the student will guess is P(G) =  0.2

The probability that that the student get the correct answer given that the student guessed is P(W /G) =  0.25

Here W denotes that the student gets the correct answer

Generally it a certain fact that if the student knows the answer he would get it correctly

So the probability the the student got answer given that he knows it is

P(W | A) =  1

Generally from Bayes theorem we can mathematically evaluate the probability that the student knows the answer given that he got it correctly as follows

P(A | W) =  \frac{ P(A) *  P(W | A )}{ P(A) *  P(W | A) + P(G) * P(W| G)}

=> P(A | W) =  \frac{ 0.8 *  1}{ 0.8 *  1+ 0.2 * 0.25}

=> P(A | W) =  0.941

4 0
3 years ago
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