Respuesta :
the answer is 15 but if they get one wrong then 14 is the answer if i get this wrong i am sorry
Answer:
On an average the number of points that a student will score is:
-0.2
Step-by-step explanation:
The probability of choosing a correct answer = 1/5
( Since out of the 5 choices we have just one correct answer)
The probability of choosing a wrong answer = 4/5
( Since out of the 5 choices only one is correct and 4 are incorrect)
Scores received on correct answer = +3
Scores received on wrong answer = -1
The average scores, in long run will be equal to the expected value. The expected value E, in this case will be:
[tex]E=\dfrac{1}{5}\times 3+\dfrac{4}{5}\times (-1)\\\\E=\dfrac{3}{5}-\dfrac{4}{5}\\\\E=\dfrac{3-4}{5}\\\\E=\dfrac{-1}{5}\\\\E=-0.2[/tex]
Thus, in long run, the student will score -0.2 points on average.
