00:01
Let us start with the solution.
00:01
So, we need to find probability density function for our given cumulative distributive function.
00:08
Now, what is probability density function? probability density function is the derivative of cumulative distribution function with respect to with respect to x.
00:24
So, over here in our question, we have been given our cdf that is cumulative distribution function.
00:33
Now, let us start with our solution.
00:37
We have f of x, this is equal to 0 for x smaller than 0, then we have 0 .2 x for the range of 0 smaller than or x which is smaller than 4, then 0 .04 x plus 0 .04.
00:57
This is as 4 which is smaller than or equal to x which is smaller than 9 and last is 1 that is 9 is smaller than or equal to x.
01:09
Now, what we will be doing is first of all we will have the differentiation of all our function with respect to x that is for 0 smaller than or equal to x which is smaller than 4, our f of x is 0 .2 x.
01:31
So, the differentiation that is f dash of x will be equal to 0 .2...
