00:01
It's given here that the number of minutes that a patient waits at medical clinic to see a doctor is represented by a uniform distribution between zero and 30 minutes inclusive.
00:12
So it's given that if x is the number of minutes a person waits, what is the distribution of x? so that's basically given in the question.
00:23
It's a uniform distribution, a continuous uniform distribution.
00:28
We can add that between zero and zero.
00:37
30 minutes.
00:40
So sometimes we use this notation, say x is distributed uniformly on this interval.
00:57
Then for b we are asked to write the probability density function for this distribution.
01:04
For a continuous uniform random variable, the probability density function is given by this formula.
01:13
It's equal to 1 over b minus a for x is between a and b.
01:21
That backwards, and it's zero otherwise.
01:36
So it only has non -zero density for x between a and b.
01:40
So here, a is 0 and b is 30...