(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Xavier and Yolanda both have classes that end at noon and they agree to meet every day after class. They arrive at a campus cafe independently. Xavier’s arrival time is X and Yolanda’s arrival time is Y , where X and Y are measured in minutes after noon. The

individual density functions are:

f1(x) = {e^−x if x ≥ 0,

0 if x < 0}

f2(y) ={y/50 if 0 ≤ y≤ 10,

0 otherwise.}

After Yolanda arrives, she will wait at the cafe up to half an hour for Xavier and then go to the library. On the other hand, if Xavier arrives and does not find Yolanda, he will email her a message and leave immediately for the library. Find the probability that they meet at the cafe.

3. The attempt at a solution

So I thought that you would just multiple f1(x) by f2(x) and then integrate that function to get the answer. However, I am not entirely certain of what the bounds would be for that integral.

Help please.

Thanks.

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# Probability density

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