00:01
Hello, so here we're told that we arrive at a bus stop.
00:03
The bus comes once every 30 minutes.
00:05
So we don't know what time the bus came by, but the time x that you wait before the bus arrives is going to be uniformly distributed on the interval from 0 to 30.
00:14
So for the first part here, what we have, that the parameters are alpha equals 0 and beta equals 30.
00:20
So for the first part, we want x greater than 17.
00:24
That's equal to 1 minus the probability that x is less than equal to 17.
00:28
That's going to be 1 minus, while 7.
00:30
17 minus alpha divided by beta minus alpha.
00:32
So 1 minus 17 minus 0 over 30 minus 0 is 1 minus 17 30th.
00:38
So 1 minus 17 over 30 is going to be equal to 13 over 30.
00:46
So that's equal to 13 over 30, which is equal to about 0 .4333.
00:57
And then for the second part, with the probability that x is less than 13...