Thread: Anyone know how to solve this??

A man and a woman arrive at a certain restaurant between 12
noon and 1 pm. The arrival time of each is uniformly distributed and is independent
of that of the other. What is the probability that the second to arrive will be no later

than 15 minutes after the first??

The easiest way to approach this problem is geometrically. Draw out a graph and determine the "areas" in question. Let me know if you get stuck.

Originally Posted by Nappy

A man and a woman arrive at a certain restaurant between 12

noon and 1 pm. The arrival time of each is uniformly distributed and is independent
of that of the other. What is the probability that the second to arrive will be no later

than 15 minutes after the first??

This type of question has been asked and answered many times in this subforum. Spend some time reviewing old threads (perhaps use the Search tool) to find similar questions.

I drew a graph with the lines, y = x + 15 and y = x -15, the joint density is 1/60(squared), the limits of integration are the problem??

you need not integrate
the complementary events are triangles.
you really need to draw the region.

Originally Posted by matheagle

you need not integrate
the complementary events are triangles.
you really need to draw the region.

Hey just wondering could you elaborate on this. I eventually got the answer, It s a tutorial for a probability module im doing in college, but only after drawing the region and then integrating, you mention it not being necessary to integrate? How so?

Thanks for the help!

Originally Posted by Nappy

Hey just wondering could you elaborate on this. I eventually got the answer, It s a tutorial for a probability module im doing in college, but only after drawing the region and then integrating, you mention it not being necessary to integrate? How so?

Thanks for the help!

The distribution is uniform so it's sufficient to simply calculate the area of the region. If you do the research I suggested you will find more information.