A survey of 300
randomly selected high school students determined that 131
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 can be calculated by dividing the number of students who play organized sports by the total number of students surveyed.
131/300 = 0.4367
So, the probability is 0.4367 or 43.67%.
(b) This probability suggests that there is a 43.67% chance that any randomly selected high school student plays organized sports.
To calculate the probability that a randomly selected high school student plays organized sports, we can use the formula:
P(plays organized sports) = Number of students who play organized sports / Total number of high school students
Given that 300 high school students were surveyed and 131 of them play organized sports, we can substitute these values into the formula:
P(plays organized sports) = 131 / 300
Now let's compute the value:
P(plays organized sports) = 0.4367
Therefore, the probability that a randomly selected high school student plays organized sports is approximately 0.4367 or 43.67%.
Interpretation: Out of the 300 randomly selected high school students, there is a 43.67% chance that any given student plays organized sports.
To find the probability, we need to divide the number of students who play organized sports (131) by the total number of students in the survey (300).
(a) Probability = Number of students who play organized sports / Total number of students in the survey
Probability = 131 / 300
Probability = 0.4367 (rounded to four decimal places).
So, the probability that a randomly selected high school student plays organized sports is approximately 0.4367.
(b) The probability indicates the likelihood or chance of selecting a high school student who plays organized sports from the survey. In this case, there is a 43.67% chance or probability of randomly selecting a high school student who plays organized sports.