00:01
So here we're assuming a binomial experiment with n equals to 11, and the p here, the other parameter, is equal to 0 .3.
00:08
When we say that we have a binomial experiment, this means that the f of a little x here is the same as the combination of the n that we have and the little x that we have here inside, then p at the power of little x and 1 minus p at power n minus x.
00:30
So plug in the values that we know, for example, aside from x, we know n in p.
00:34
So we can put here what we know.
00:38
So it will be easier to apply this to the next questions.
00:43
So 1 minus 0 .3 is the same as 0 .7 and 11 minus x.
00:50
So now we should use this formula to compute the following questions.
00:56
So in the first one, we are saying that we want the f of 0.
01:00
Which means that instead of like having little x, i have zero here.
01:05
So by plug this in the formula, what we are going to have is this.
01:09
0 .7 and then 11.
01:12
So this he will give us 0 .01 -977, and that's it.
01:19
Now in item b we need to find f of 8.
01:22
F of 8 is 11, 8, 0 .38, 0 .7, 3, which is 0 .0037.
01:35
Now for question number c, we need to find now what probability less or equal than 1.
01:43
So when we say that x could be less or equal than 1, it's the same as saying that we have f of 1 plus f of 0, because these are the two possibilities when we say that x is less equal than one.
01:57
So for zero you already have.
01:59
For one, we just need to use the formula.
02:01
So 0 .3, 1, 0 .7, 10, and then we repeated the answer that we had for the first item.
02:10
So this he will give us 011 to 9 .8.
02:18
Now for letter d, we want the probability here of x being 0 .1...