00:01
Alright, so for a, we want to find the probability of x being equivalent to 15.
00:08
So this is going to be a binomial distribution question.
00:10
So we're going to have 21 choose 15 times 0 .67 to the power of 15 times 0 .33 to the power of 6.
00:27
So let's toss that into a calculator.
00:31
21 choose 15 times 0 .67 to the power of 15 times 0 .33 to the power of 6.
00:42
That gives us 0 .172.
00:47
For b, we'll find the probability of x being between 9 and 14.
00:53
That's the probability of x being less than 14 minus the probability of x being less than 9.
01:02
So we can use an online binomial distribution calculator to help us find this.
01:09
Let's emphasize it's 21.
01:11
0 .67 is our probability of success.
01:14
So first let's find the probability of being less than 14.
01:20
That's going to give us 0 .386 minus the probability of being less than 9.
01:32
That's going to give us 0 .0061.
01:38
Let's toss that into a calculator.
01:40
0 .386 minus 0 .0061...