00:01
Hi, i'm david and i'm here to have you answer your question.
00:03
In the question here, we're given the density function of the form fx equal to the 0 .09375 times from the form minus the x square for the x in the interval from the minus 2 and the 2 and equal to 0l square.
00:24
Now the first time we need to scan the graph and we need to choose the right one.
00:28
Notice then they most almost the same, just the different y intercept.
00:33
So let me try to find the f of the 0.
00:36
So it's equal to the 019375, 10 with the 4 minus 0 square.
00:43
And if we compute, get equal to 9375 times 4, then get equal to the zupon 375.
00:52
And the one with the right y intercept here, it must be the option.
00:58
Third one so that will be the bottom one on the left so the right one will be the bottom one on the left and then the next one we need to find the question be the probability on the x that will be greater than the zero and notice that it will try to draw the graph of this one we will have this will be something like this and this value will be equal to the 0 .375 and once you find the probability x greater than 0 will be half on the area here but we know the total area equal to the 1 so therefore half of the area equal to 0 .5 and for the question c when you find the probability on the x will be between the minus 1 and 1 and it will be between the minus 1 and 1 so it will be is that you consider only this one, but we will multiply by two to get the full one.
02:05
So the 4 will be 2 times the probability of the x will be from 0 to the 1, but that will be by symmetry.
02:12
Then we have the 2 times equal to integral from 0 to 1.
02:16
Then we have the 0 0 9 375, 4 minus the x square the x.
02:23
Then we have the 2 times 0109 -375 equal to the 01875.
02:31
Untain the derivative of the 4 will be the 4x minus x over 3 over 3 from 0 to 1...