Answer
The probability that a randomly selected student drives to school is 0.58.
Work Step by Step
A survey is conducted in the school by randomly asking 50 students whether they drive to school. The outcomes can be obtained by using the simulation technique.
The outcomes of the 50 students and the frequency distribution are obtained by following the steps below:
Step 1: Open the Minitab software. Go to Calc and select the option integer under the Random Data.
Step 2: Enter 50 as the number of rows of data to generate. Enter C1 in the Store in column(s) option and specify the minimum and maximum values as 0 and 1 where 1 represents the students who drive to school and 0 represents the students who do not drive to school.
Step 3: Click on Ok and obtain 50 random samples.
The frequency distribution of the outcomes is obtained by following the below steps in Minitab.
Step 1: Go to Stat and choose the option Tally Individual Variables under the option Tables.
Step 2: Enter the variables as “C1” and choose the option display counts and click on OK.
The frequency distribution is obtained as follows:
Outcomes Frequency
1 29
0 21
The required probability is computed based on a survey result; hence, the actual experiment is performed. So, it is called the empirical method. Hence, the empirical method is used to calculate the required probability.
From the table given above, it is observed that 29 students drive to school. The probability that a randomly selected student drives to school is given as follows:
\[\begin{align}
& P\left( \text{Drives to school} \right)=\frac{\text{Frequency of students who drive to school}}{\text{Number of students}} \\
& =\frac{29}{50} \\
& =0.58
\end{align}\]
Hence, the approximated probability that a randomly selected student drives to school is 0.58.
