SOLUTION: Suppose we survey 1,000 adults at random, ask them how much they owe in student debt, find the distribution of our results, and then make the following table: Debt [$0, $5k) [$

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Question 1158351: Suppose we survey 1,000 adults at random, ask them how much they owe in student debt, find
the distribution of our results, and then make the following table:
Debt [$0, $5k) [$5k, $10k) [$10k, $25k) [$25k, $50k) [$50k, $75k) [$75k, $100k+)
Count 193 168 287 195 91 66
We select two adults at random. What is the probability that the first person has less than
$50k in student loans and the second person has at least $50k in student loans?

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The last two ranges are the ones over $50k; 157 of the 1000 people had student loans of that amount. That makes 843 people who had student loans of less than $50k. So

P(1st person has less than $50k loans) = 843/1000
P(2nd person has more than $50k loans) = 157/999

Multiply the two probabilities and simplify or convert to decimal or percent as required/desired.