Question

the results of a survey of 100 randomly selected students at a 2000 - student high school are shown at the right. find the experimental probability that a student selected at random has the given plans after graduation. \\( p(\text{not trade school}) = \square \\) (type an integer or a simplified fraction) \\( \

$$\begin{array}{|c|c|} \\hline \\text{response} & \\text{number of responses} \\\\ \\hline \\text{go to community college} & 24 \\\\ \\hline \\text{go to a 4 - year college} & 40 \\\\ \\hline \\text{take a year off before college} & 14 \\\\ \\hline \\text{go to trade school} & 14 \\\\ \\hline \\text{do not plan to go to college} & 8 \\\\ \\hline \\end{array}$$

\\)

Explanation:

Step1: Find total surveyed students

Total students surveyed: \(24 + 40 + 14 + 14 + 8 = 100\)

Step2: Find students not trade school

Students not trade school: \(24 + 40 + 14 + 8 = 86\)

Step3: Calculate probability

Probability \(P(\text{not trade school}) = \frac{\text{Number of students not trade school}}{\text{Total number of students surveyed}} = \frac{86}{100} = \frac{43}{50}\)

Answer:

\(\frac{43}{50}\)