in a city school of 1,200 students, 40% of the students are on the honor roll, 60% have a part-time job, and 22% are on the honor roll and have a part-time job. What is the probability (rounded to the nearest whole percent) that a randomly selected student is on the honor roll, given that the student has a part-time job?
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the statement:
In a city school of 1,200 students, 40% of the students are on the honor roll, 60% have a part-time job, and 22% are on the honor roll and have a part-time job.
Determine the probability that a randomly selected student is on the honor roll, given that the student has a part-time job.
Solution:
In order to determine the probability, we simply needed to take in to account that 60% of the population have a part time job. Hence, since there are two subjects in the population, the honor rolls, and those that have a part-time job. Now to determine the probability, we simply needed to take the half of 60% and add it to 22%.
= 60%/2
= 30%
= 30% + 22%
= 55%
We divide by 2 since there are two subjects in the population, therefore we can assume that the probability will be equally distributed.
Final answer:
= 55%