SOLUTION: In a multiple-choice test, each question has four options. students will get 4 points for each correct answer; lose 1 point for each incorrect answer; and receive no points for una

Question 441876: In a multiple-choice test, each question has four options. students will get 4 points for each correct answer; lose 1 point for each incorrect answer; and receive no points for unanswered questions. A student does not know the correct answer for one question. Is it to her advantage or disadvantage to guess an answer? Show your calculations for expected value. Show your work for full credit.
Please help!!!!!!!!!!!!!!!! I am lost, you guys are the best here and I have learned a lot but stuck on this one.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a multiple-choice test, each question has four options. students will get 4 points for each correct answer; lose 1 point for each incorrect answer; and receive no points for unanswered questions.
---------------------------------------------------------------
A student does not know the correct answer for one question. Is it to her advantage or disadvantage to guess an answer? Show your calculations for expected value. Show your work for full credit.
-----------
E(x) = 4(1/4) + (-1)(3/4) + 0(0) = 1-(3/4) = 1/4 point.
--------------------
The student should guess.
---------------------
Cheers,
Stan H.
RELATED QUESTIONS
7. In a multiple-choice test, each question has four options. Students will get 4 points... (answered by stanbon)

in a multiple choice test each question has four options. students will get 5 points for... (answered by stanbon)

In a multiple-choice test, each question has four options. Students will get 2 points... (answered by stanbon)

In a multiple-choice test, each question has five options. Students will get 3 points for (answered by robertb)

In a multiple-choice test, each question has four options. Students will get 5 points... (answered by robertb)

. In a multiple-choice test, each question has four options. Students will get 2 points... (answered by richard1234)

In a multiple-choice test, each question has five options. Students will get 10 points... (answered by stanbon)

In a multiple choice test, each question has four options, students get 10 points for... (answered by stanbon)

In a multiple- choice test, each question has five options. Students will get 3 points... (answered by stanbon)

In a multiple-choice test, each question has five options. Students will get 3 points for (answered by stanbon)