00:01
Hi, i'm david and i'm hitching hapjans in your question.
00:03
Now let me bring up your question here.
00:06
In the question here, we're going to discuss about the binomial distribution.
00:10
Let me remind you that if the x followed by the binomial with the n and the p, and then the probability of the x equal to k equal to n 2k, b power k times 1 minus p power n minus k.
00:25
In this question here we have the sample of the 5 equally 8 healthy, so n equal to the 5.
00:33
And we have the 2 out of 3 probability that the person living in this condition for the 13 years or more.
00:42
So we have the b equal to the 2 out of 3.
00:47
Now if we call the x equal to the number of the pupil, that will live in that condition for in this condition for 30 years or more.
01:16
And then we see x equal followed by the binomial with the n equal to the 5 and b equal to the 2 out of 3.
01:24
Now the question a asks not to find the probability that all people are still living.
01:31
So it means that when you find the x exactly equal to the 5.
01:35
And then we apply the formula here.
01:38
So we get the n equals 5, choose 5, and b equal to 2 out of 3 power of 5...