on a quiz there are four multiple - choice questions worth 3 points each and two true/false questions worth…

Explanation:

Step1: Calculate expected value of multiple - choice questions

For each multiple - choice question with 5 options and 3 points, the probability of getting it right by guessing is $\frac{1}{5}$. The expected value of one multiple - choice question is $3\times\frac{1}{5}=0.6$. Since there are 4 multiple - choice questions, the total expected value of multiple - choice questions is $4\times0.6 = 2.4$.

Step2: Calculate expected value of true/false questions

For each true/false question with 2 options and 1 point, the probability of getting it right by guessing is $\frac{1}{2}$. The expected value of one true/false question is $1\times\frac{1}{2}=0.5$. Since there are 2 true/false questions, the total expected value of true/false questions is $2\times0.5 = 1$.

Step3: Calculate total expected value

The total expected value of the score is the sum of the expected values of multiple - choice and true/false questions, so $2.4 + 1=3.4$.

Answer:

3.4