00:01
Hi, i'm david and i'm here to help you answer your question.
00:04
Now let me bring up your question here.
00:07
In the question here, we're given the graph on the probability density function.
00:12
And in the question, i want to find the probability that the number will be picked is between 5 .5, will be here, up to the 6 .3 somewhere here.
00:28
And then it's equal to the area for the...
00:32
The interval here and this will be the probability we're looking for and now to find this probability here which you need to compute the area on this rectangle we see that the base here it will equal to the 6 .3 minus the 5 .5 and it will equal to the 0 .8 and for the height from here to here we see that it will equal to the 0 .5 0 .25.
01:06
So therefore the answer for the first part a equal to the area of the rectangle, equal to the base will be 0 .8 times with the high will be 0 .25.
01:23
So get equal to the 0 .2.
01:28
And that's will be the answer for the a.
01:30
Now for the b, want to find the probability x will be between the 2 and 5.
01:35
So when you find the area on the left, here, all the way up to this one...