00:01
We are given the cumulative distribution function shown here and asked to solve for various probabilities.
00:11
For part a, we are asked for the probability that x is less than or equal to 50.
00:22
This is the cumulative probability, or the cumulative distribution function, evaluated at 50.
00:32
And we can see that a value of 50 lands in this range, therefore this is equal to 1.
00:40
For part b, we're asked for the probability that x is less than or equal to 40.
00:56
This is the cumulative distribution function evaluated at 40.
01:03
And we can see that a value of x equal to 40 would fall in this range.
01:08
So this probability is equal to 0 .75.
01:18
For part c, we're looking for the probability that x is at least as big as 40, but is no bigger than 60.
01:44
And this should be less than or equal to you.
01:48
So the first term is one, the probability that x is less than or equal to 60, is that covers the entire range of the distribution, or the entire non -zero range of the distribution...