Chapter 8.5, Problem 1MS

No pop quizzes. Your instructor gives “mom quizzes” (she doesn’t like pop quizzes). Suppose you expect a score of 100% when you study and a score of 60% when you don’t. If you study only half the time, what would you expect your average score to be on all your quizzes?

To determine

To estimate:average score on the “mom quizzes’ if you study half the time.

Answer to Problem 1MS

The average score on the “mom quizzes” is $80\%$.

Explanation of Solution

Given: Your feminist instructor gives you “mom quizzes” which she likes better than ‘pop quizzes”. You estimate that you will score $100\%$ on a quiz you study for and $60\%$ on a quiz you don’t study for.

Formula Used: $E=\left(0.5\right)\left(100\%\right)+\left(0.5\right)\left(60\%\right)$

Calculation:Your average score is given by

  $E=\left(0.5\right)\left(100\%\right)+\left(0.5\right)\left(60\%\right)$

  $\begin{array}{l}=50\%+30\%\\ =80\%\end{array}$

Conclusion:Therefore,average score on the “mom quizzes” is $80\%$.