00:01
In this question, we are looking at uniform probability.
00:05
So let's start by drawing it.
00:10
So looking at weight loss, and they all lose between 6 and 15 pounds a month, and it is uniformly distributed.
00:21
So between 6 and 15, there is an equal probability of any value coming up.
00:27
Outside of the interval, it just drops immediately to 0.
00:31
What's the probability that a random individual lost more than 12, 12 pounds in a month.
00:37
Okay, so i mark 12 on here.
00:42
The total area of this rectangle, the big one, is 1.
00:46
They definitely lost some amount between 6 and 15.
00:50
What's the probability that the amount they lost is in this particular section of a rectangle, this smaller rectangle.
00:58
Let's make a fraction.
00:59
Let's find out what proportion of the overall distribution is taken up by this smaller interval.
01:05
So area over rectangle, length times height.
01:09
And for the smaller rectangle, also length times height.
01:13
But they have the same height, so these are going to cancel out.
01:17
And we're just comparing the lengths of the intervals.
01:21
So the big rectangle is between 6 and 15, so 15 minus 6 is a length of 9...