Question

a survey of 200 randomly selected high school students determined that 150 play organized sports. (a) what is the probability that a randomly selected high school student plays organized sports? (b) interpret this probability. (a) the probability that a randomly selected high school student plays organized sports is (round to the nearest thousandth as needed.)

Explanation:

Step1: Recall probability formula

The probability $P(A)$ of an event $A$ is given by $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step2: Identify values

The number of favorable outcomes (students who play organized sports) is $n = 150$, and the total number of outcomes (total students surveyed) is $N=200$.

Step3: Calculate probability

$P=\frac{n}{N}=\frac{150}{200}=\frac{3}{4}= 0.750$

Answer:

(a) $0.750$
(b) If we randomly select a high - school student from the population that is similar to the surveyed group, there is a $75.0\%$ chance that the student plays organized sports.