An article reported the following information for first-time freshmen at four-year colleges.
A total of 95,280 first-time freshmen were surveyed.
52,368 were enrolled in their first-choice college.
26,132 were enrolled at their second choice college.
The rest were enrolled at a college that was not their first- or second-choice college.
(a) What is the probability that a randomly-selected person who participated in this survey was enrolled
in their second-choice college? (Round your answer to four decimal places.)
(b) What is the probability that a randomly-selected person who participated in this survey was not
enrolled at their first-choice college? (Round your answer to four decimal places.)
(c) What is the probability that a randomly-selected person who participated in this survey was not
enrolled at either their first- or second-choice college? (Round your answer to four decimal places.)
Guide On Rating System
Vote
(a) The probability that a randomly-selected person who participated in this survey was enrolled in their second-choice college is given by the number of people enrolled in their second-choice college divided by the total number of people surveyed:
Probability = number enrolled in second-choice college / total number surveyed
Probability = 26,132 / 95,280
Probability ≈ 0.2741
The probability is approximately 0.2741.
(b) To find the probability that a randomly-selected person who participated in this survey was not enrolled at their first-choice college, we need to subtract the number enrolled in their first-choice college from the total number surveyed, and then divide by the total number surveyed:
Probability = (total number surveyed - number enrolled in first-choice college) / total number surveyed
Probability = (95,280 - 52,368) / 95,280
Probability ≈ 0.4518
The probability is approximately 0.4518.
(c) To find the probability that a randomly-selected person who participated in this survey was not enrolled at either their first- or second-choice college, we need to subtract the sum of the number enrolled in their first-choice college and the number enrolled in their second-choice college from the total number surveyed, and then divide by the total number surveyed:
Probability = (total number surveyed - number enrolled in first-choice college - number enrolled in second-choice college) / total number surveyed
Probability = (95,280 - 52,368 - 26,132) / 95,280
Probability ≈ 0.2741
The probability is approximately 0.2741.
Got a question with my answer?
Cheapmath.com is completely free!
Asking question is free.
Getting answers is free.
+99