Chapter 12.7, Problem 31PPE

To determine

To find: The experimental probability that the student selected at the random has the given plans after the graduation.

Answer to Problem 31PPE

The required probability is $85\%$ .

Explanation of Solution

Given:

The table for the given plans after graduation is shown in Table 1

Table 1

Response	Number of responses
Go to community college	24
Go to 4 year college	43
Take a year off before college	12
Go to trade school	15
Do not plan to go to school	6

Calculation:

The objective is to determine the value of $P\left(\text{not}\text{trade}\text{school}\right)$ .

The experimental probability is conducted with certain number of trial then the experimental probability is,

  $P=\frac{\text{number}\text{of}\text{favorable}\text{outcomes}}{\text{number}\text{of}\text{times}\text{experiment}\text{is}\text{done}}$

The total number of students is $100$ .

Since, 15 out of $100$ response to go to trade school then,

  $\begin{array}{c}P\left(\text{not}\text{trade}\text{school}\right)=1-\frac{15}{100}\\ =\frac{85}{100}\end{array}$

Then, the experimental probability is,

  $\begin{array}{c}P\left(\text{not}\text{trade}\text{school}\right)=\frac{85}{100}\times 100\\ =85\%\end{array}$