Question

5. A student takes a multiple-choice exam where each question has 5 possible answers. He works a question correctly if he knows the answer, otherwise he guesses at random. Suppose he knows the answer to 80% of the questions. (a) What is the probability that on a question chosen at random the student gets the correct (b) Given that the student gets the correct answer to this question, what is the probability answer? that he actually knew the answer?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

a)P(gets correct answer)=P(knows and gets correct answer)+P(guess and gets correct answer)

=0.8*1+0.2*1/5 =0.84

b)P(knew the answer given gets correct answer)=P(knows and gets correct answer)/P(gets correct answer)

=0.8*1/0.84 = 0.9524

Add a comment
Know the answer?
Add Answer to:
5. A student takes a multiple-choice exam where each question has 5 possible answers. He works...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT