| Line 1: | Line 1: | ||
| − | Given that a train arrives at a train station every hour (1:20, 2:20, 3:20 etc.) and that I go to the train station from 1:00 to 2:00 how much time do I wait? | + | <nowiki> |
| + | Given that a train arrives at a train station every hour (1:20, 2:20, 3:20 etc.) and that I go to the train station from 1:00 to 2:00 how much time do I wait? <BR><BR> | ||
| − | If you go to the edit page you can see this better. I am not sure how to get wiki to show this the way I want it to. If you know how please feel free to fix it. | + | If you go to the edit page you can see this better. I am not sure how to get wiki to show this the way I want it to. If you know how please feel free to fix it.<BR><BR> |
| − | x= time I arrive | + | x= time I arrive<BR> |
| − | y= wait time | + | y= wait time<BR><BR> |
| − | A={x<=1:20} P[A]=1/3 | + | A={x<=1:20} P[A]=1/3<BR> |
| − | B={X>=1:20} P[B]=2/3 | + | B={X>=1:20} P[B]=2/3<BR><BR> |
| − | Theorem of Total Probability | + | Theorem of Total Probability<BR> |
| − | fY(y)=fY/A(y)*P[A] + fY/B(y)*P[B] | + | fY(y)=fY/A(y)*P[A] + fY/B(y)*P[B]<BR><BR> |
| − | fY/A | + | fY/A<BR> |
| − | | | + | |<BR> |
| − | 3 |_____ | + | 3 |_____<BR> |
| − | | | | + | | |<BR> |
| − | |_____|______ | + | |_____|______<BR> |
| − | 1/3 | + | 1/3<BR><BR> |
| − | fY/B | + | fY/B<BR> |
| − | | | + | |<BR> |
| − | 2/3 | ______ | + | 2/3 | ______<BR> |
| − | | | | | + | | | |<BR> |
| − | |____|______|______ | + | |____|______|______<BR> |
| − | 1/3 1 | + | 1/3 1<BR><BR> |
| Line 33: | Line 34: | ||
| | | | | | ||
|___________|______ | |___________|______ | ||
| − | 1 | + | 1<BR><BR> |
| + | <nowiki> | ||
Revision as of 14:29, 7 October 2008
Given that a train arrives at a train station every hour (1:20, 2:20, 3:20 etc.) and that I go to the train station from 1:00 to 2:00 how much time do I wait? <BR><BR> If you go to the edit page you can see this better. I am not sure how to get wiki to show this the way I want it to. If you know how please feel free to fix it.<BR><BR> x= time I arrive<BR> y= wait time<BR><BR> A={x<=1:20} P[A]=1/3<BR> B={X>=1:20} P[B]=2/3<BR><BR> Theorem of Total Probability<BR> fY(y)=fY/A(y)*P[A] + fY/B(y)*P[B]<BR><BR> fY/A<BR> |<BR> 3 |_____<BR> | |<BR> |_____|______<BR> 1/3<BR><BR> fY/B<BR> |<BR> 2/3 | ______<BR> | | |<BR> |____|______|______<BR> 1/3 1<BR><BR> FY(y) | 1 |___________ | | |___________|______ 1<BR><BR> <nowiki>
