00:01
Hi, i'm david and i'm here to help you answer your question.
00:03
Let me bring up your question here.
00:06
In this question we will recall about the uniform distribution.
00:12
Here, if x followed by the uniform from a to b and then the density fx equal to the one number b minus a for the x between the interval from a to b.
00:28
Now in this question we're given the x, will be the reaction time so x will be the term and x followed by the uniform from the 5 to 10 so including including here and then the question a asking us to draw the graph of the density first of all we can find the density of the x it's equal to 1 over 10 minus 5 so equal to 1 over 5 for the x between the interval from 5 to 10.
01:06
So it won't you try to graph it, it will be something like this.
01:12
So from 5 to 10, so zero, and then 5 here, and then 10 here.
01:22
So from 5 to 10, so it will be before 5 will be 0.
01:28
And then after 5 will be, we have this one will be, let's say this only 1 over 5.
01:33
And it jumped to here and after that it will go back to the zero so that will be the graph of the the fx density now for the b one is the probability and the reaction time is between six and eight so you know six will be here and then eight will be here so this area here will be it tells us that this would be the area here will be the probability of the x between the 6th and the 8 and therefore the area there on the rectangle the base equal to 2 times the height equal to 1 5 so equal to 2 out of 5 that's a symbol we don't need to do any calculation for the c what is a probability that the reaction times between 5 and 8 5 and 8...