What is the approximate probability that a randomly selected person will be attending the football game given they are an upper-class student? PLEASE HELP!

Question

At Lewisville University, they are looking into how often students attend football games.

Here are the results:

● ·45% of students regularly attend the football games

● Of those that attend football games regularly, 35% are first-year students and 64% are upper-class students.

● Of those that do no attend football games, 25% are first-year students and 34% are upper-class students

What is the approximate probability that a randomly selected person will be attending the football game given they are an upper-class student?

Answer 1

Hi Shane C.,

There's a disconnect in the data supplied. You have categories: "regularly attends football games" and "does not attend football games", but no category for "attends football games occasionally, but neither never nor regularly". SInce you do not have sufficient data to solve, you could quite rightly object to the question.

However, if you make and state that you make the assumption that all students either never, or else regularly, attend football games, you coud proceed as follows.

Determine the % of the student body that are both upper-classers and regularly attend football games, that's sequential probabilities as = 0.45*0.64 = 0.288

Determine the % of the student body that are both upper-classers and never attend football games, that's = 0.55*0.34 = 0.187 . The sum is 0.475 , (which seems suspiciously low for upper-classers, but perhaps that designates only juniors and seniors?)

Anyway, then the desired statistic is 0.288/0.475 (do you see why? You are comparing two groups of upper-classers, the attendees vs. the whole) =~ 0.606 .

-- Cheers, -- Mr. d.