Carolyn Moore

2021-11-30

A learning management system allows users to take up to 4 different practice exams before taking the actual exam. Data is collected from 40 users of the product regarding the number of practice exams each used.
$\begin{array}{|cccccc|}\hline \text{Number of Practice Exams Taken}& 0& 1& 2& 3& 4\\ Frequency& 5& 10& 13& 9& 3\\ \hline\end{array}$
Based on the data, find the estimated probability (relative frequency) that a user will take more than one practice exam.
The probability is ?

Prioned

Step 1
The relative frequency is calculated as
Relative Frequency $=\frac{\text{Corresponding Frequency}}{Total}$
Then,
$\begin{array}{|ccc|}\hline \text{Number of Practice Exams Taken}& Frequency& \text{Relative frequency}\\ 0& 5& 0.125\\ 1& 10& 0.25\\ 2& 13& 0.325\\ 3& 9& 0.225\\ 4& 3& 0.075\\ Total& 40\\ \hline\end{array}$
Step 2
Now, $\text{Probability}=\text{Relative frequencies of number of practice exams taken greater than 1}$
$=0.325+0.225+0.075$
$=0.625$
Therefore, the required answer is 0.625.

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