Question

a survey of 400 randomly selected high school students determined that 284 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: Calculate the probability

The formula for probability is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (students who play organized sports) is \(284\), and the total number of outcomes (total students surveyed) is \(400\). So, \(P = \frac{284}{400}\).

Step2: Simplify the fraction

\(\frac{284}{400}=\frac{284\div4}{400\div4}=\frac{71}{100}=0.71\)

Answer:

\(0.71\)