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Eddi Din [679]
3 years ago
10

A student answers a multiple-choice examination question that offers four possible answers. Suppose the probability that the stu

dent knows the answer to the question is 0.9 and the probability that the student will guess is 0.1. Assume that if the student guesses, the probability of selecting the correct answer is 0.25. If the student correctly answers a question, what is the probability that the student really knew the correct answer? (Round your answer to four decimal places.)
Mathematics
1 answer:
Nitella [24]3 years ago
7 0

Answer: 0.9730

Step-by-step explanation:

Let A be the event of the answer being correct and B be the event of the knew the answer.

Given: P(A)=0.9

P(A^c)=0.1

P(B|A^{C})=0.25

If it is given that the answer is correct , then the probability that he guess the answer P(B|A)= 1

By Bayes theorem , we have

P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(C|A^c)P(A^c)}

=\dfrac{(1)(0.9)}{(1))(0.9)+(0.25)(0.1)}\\\\=0.972972972973\approx0.9730

Hence, the student correctly answers a question, the probability that the student really knew the correct answer is 0.9730.

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Answer:

Step-by-step explanation:

We khow that A is the sum of all odd numbers that are less than 100

So A= 1+3+5+...+99

We can calculate this sum without adding all this numbers one by one

A = the number of terms *( first term + last one ) over 2

To get the number of terms we substract the first term from the last term then we add one

We khow that odd numbers are wiritten this way : 2*n +1 where n is an integer

So 99= 2*49+1

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So A= 50*(1+99)/2 = 2500

Foloowing the same method we get :

B= (49-1+1)*(2+98)/2= 2450

A>B

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D.)

Step-by-step explanation:

Reflecting an image/shape over the x axis is reflecting it over a horizontal line, so the x coordinates will stay the same and the y coordinates will be the opposite. Therefore, the answer is D. Hope this helps!

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2 years ago
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Step-by-step explanation:

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The answer is 3/4
Hope the answer helps :)
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