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

The expected value of the student's score on the test is 3.4.

Step-by-step explanation:

Multiple choice questions:

worth 3 points.

Five possible choices, one of which is correct. So the expected value of the student in each multiple choice question is:

True/false questions:

worth 1 point.

2 options, one of which is correct, so the expected value for each is:

What is the expected value of the student's score on the test ?

4 multiple choice, two true-false. So

The expected value of the student's score on the test is 3.4.

part a: 1.08

part b: 27.59