00:01
In this question, we're given that 40 % are male students in a large university, and a random sample of seven students is selected.
00:10
I'm going to let x be the number of students of these seven who are male.
00:14
Now, x follows the binomial distribution.
00:16
You can see that there are four criteria here.
00:19
The first criteria of the binomial distribution is the number of trials, m is fixed, and identical.
00:24
Now, since there are seven students, there will be n trials, so n is seven.
00:27
Each trial is looking at a student whether the student is male or not.
00:31
So all the seven trials are identical.
00:34
So the first criteria is fulfilled.
00:37
Second criteria, each trial is independent.
00:39
So each student, whether it's male or not, is independent of the other students.
00:43
So second criteria is fulfilled.
00:45
Third criteria, each trial results in one or two outcomes, success and failure...