On a quiz there are four multiple-choice questions worth 3 points each and two true/false questions worth 1 point each. each multiple-choice question has five possible choices. if a student randomly guesses on each question, what is the expected value of the student's score on the test?

Expected value would be

Step-by-step explanation:

Since we have given that

Number of multiple choice question = 4

Number of true false questions = 2

Number of points for each multiple choice question = 3

Number of points for each true false question = 1

Number of choices in multiple choice = 5

Probability of getting correct answer in multiple choice question =

Probability of getting correct answer in true false question =

Expected value of the student's score on the test would be

Hence, expected value would be

The performance of a student in the quiz is estimated. The expected score of the student in the quiz will be 3.4 points.

Given information:

The number of multiple-choice questions is 4. The points rewarded for each MCQ are 3 points.

The number of true/false questions is 4. The points rewarded for each T/F are 3 points.

Each MCQ has 5 options and there are 2 possibilities for each T/F question.

So, the probability of answering an MCQ correctly is,

The probability of answering a T/F correctly is,

The expected value of a student's score can be calculated as,

Therefore, the expected score of the student in the quiz will be 3.4 points.

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