00:01
Many students accumulate debt by the time they graduate from college.
00:04
So we were given this table.
00:06
And in this table, we have some information about four universities and four colleges.
00:12
And along with that, we have the percent of their debt, or the percent of students with debt, as well as the average amount of that debt.
00:21
So we're going to answer a variety of probability questions.
00:24
So part a.
00:26
We want to randomly choose a graduate of college two.
00:31
And determine the probability that this individual graduated with debt.
00:36
So we're going to say the probability that the student has debt, given that they came from college two.
00:46
So if we look at college two, there was 93 % of the students graduated with debt, so your answer would be 93%.
00:55
And as we write it as a decimal, we would say 0 .93.
01:00
Three.
01:01
For part b, if you randomly choose one of these eight institutions for a follow -up study on student loans, what's the probability that you choose an institution with more than 60 % of its graduates having debt? so we want the probability that the debt is greater than 60%.
01:25
So as i look here in the debt column, we have this one greater than 60.
01:30
This one's greater than 60.
01:31
This one's greater than this one's greater than 60, this one's greater than 60, and this one's greater than 60.
01:38
So our probability is five out of the eight institutions where the students graduate with more than 60 % debt.
01:46
As a decimal, that would be written as 0 .6 to 5.
01:53
We're ready to move on to letter c if you randomly choose one of these eight institutions.
01:58
Again, we're doing a follow -up study on student loans.
02:01
What is the probability that the institution whose graduates with debt is an average of more than 24 ,000? so we want a probability that the amount is greater than $24 ,000...