00:01
We have the admission rate for these students is 0 .919, very high.
00:06
And we have a total of 11 people that are going to be randomly looked at and try to see what their probability is.
00:17
And we know x is going to be the number that are admitted.
00:24
And so on part a, we want to find what is the likelihood that at least 10 of the 11 get in.
00:31
And so we know that is a binomial situation, and we're just going to use that binomial pdf.
00:37
This is 10 or 11, and we can find those two an atom together, but i'm going to do one minus the probability of having 0 through 9, which is its complement.
00:49
And so that cbf of 11 .919 and then have the probability of have that be a 9.
00:59
And so 1 minus that binomial cdf and we have 11 and 0 .919 and we want to have 9 and fewer and find the complement of that.
01:16
And that comes out to be to 4 decimal places 0 .777 .1, 2, 3, 4, 7 .7.
01:25
And the next number is a 3.
01:28
Now on part b, we want to find the likelihood that exactly eight are being selected.
01:34
And so that we can use binomial pdf.
01:37
We can also write down 11 choose 8, the probability of 0 .919 to the 8th power, and then the complement, which is going to be 0 .081, i believe, to the third power, which we can use our binomial pdf if we want...