Aquiz has multiple-choice questions, each with 5 choices. the answer possibilities are distributed evenly. if a student gets a correct answer they will receive +3 points. if they leave it blank, they will receive 0 points. if they write an incorrect answer, they will receive -1 point. a student guesses the answers to some questions. determine on average, in the long run, how many points the student will score. (write your answer as a decimal, with a minus sign if needed.)

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:

Thus, in long run, the student will score -0.2 points on average.  

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