Question

One-hundred students were allowed to re-take an exam for their math course. The probability distribution shows how studying for the latest exam affected their grade when compared with the first time they took the exam. What is the probability that a student who studied for the exam saw an increase in their exam grade? Round to the nearest thousandth. Exam Grades Studied Did Not Study Totals Raise in Grade 0.52 0.06 0.58 No Raise in Grade 0.05 0.37 0.42 Totals 0.57 0.43 1
A. 0.088
B. 0.897
C. 0.912
D. 0.570

Answer 1

@ganeshie8

Answer 2

Can you make the table for me so I can see it better ?

Answer 3

\(\large

\begin{array}{|c|c|c|}
\hline
\text{}&\text{Studies}&\text{Did Not Study} & \text{Totals} \\
\hline
\text{Raise in Grade}&\color{red}{0.52}&\color{red}{0.06}&\color{green}{0.58}\\
\hline
\text{No Raise in Grade}&\color{red}{0.05} &\color{red}{0.37}&\color{green}{0.42}\\
\hline
\text{Totals}&\color{green}{0.57} &\color{green}{0.43}&\color{green}{1}\\
\hline

\end{array}
\)

Answer 4

What is the probability that `a student who studied for the exam` saw an increase in their exam grade?

Answer 5

So, only look at \(\large \text{Studied}\) column,
ignore all other columns

Answer 6

.52/.57 ?

Answer 7

yup !

Answer 8

So C

Answer 9

\(\large \color{red}{\checkmark}\)