00:01
Hi, i'm david and i'm here to have you answer your question.
00:04
Let me bring up your question here.
00:06
In this question we will discuss about the uniform distribution.
00:11
So let me remind you that if x followed by the uniform from a to p and then the density on the x will equal to 1 over p minus a for the x between the interval from a to b.
00:30
Now we have here in this question the x follow the uniform from the 0 to the 25 minutes.
00:43
Therefore the fx equal to 1 over 25 minus 0 can be 25 for the x between the interval from 0 to 25.
00:53
Now in the part i am the question.
00:56
When to find the probability that the person must weight fewer than so x smaller than by the continuous random variable, the probability is equal to the integral, starting from 0 up to the 18 .5, 1 over 25 the x.
01:16
Untie derivative of this one is equal to x, evaluate from 0 to the 18 .5.
01:22
Therefore we have the answer will be 18 .5 over 25.
01:27
Then we do the calculation which will get equal to the 0 .74.
01:34
So that will be the part a.
01:36
For the part b on average, how long a person wait? that will be the mean on the x...