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.

Given your answer as a decimal.

The probability is ?

Based on the data, find the estimated probability (relative frequency) that a user will take more than one practice exam.

Given your answer as a decimal.

The probability is ?

Prioned

Beginner2021-12-01Added 11 answers

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.

The relative frequency is calculated as

Relative Frequency

Then,

Step 2

Now,

Therefore, the required answer is 0.625.