00:01
Hello students, in this question we have two sub -cards.
00:03
So the first one is that we want to find the probability that x exceeds 1.
00:14
So which means to find p of x greater than 1.
00:23
So we can find this by subtracting the probabilities of x equal to 0 and x equal to 1 from x greater than 1.
00:32
So it is equal to p of 1 minus p of x equal to 0 minus p of x equal to 1.
00:43
Using the binomial probability formula we have p of x equal to k equal to n c k n c k into p power k p power k 1 minus p whole power n minus k.
01:01
So after substituting this we get p of x equal to 0 equal to 5 c 0 5 c 0 0 .1 whole power 0 0 .9 whole power 5.
01:23
So it is equal to 0 .9 whole power 5.
01:34
And in the same way p of x equal to 1 equal to 5 into 0 .1 into 0 .9 whole power 4.
01:51
Now we can find p of x greater than 1.
01:56
So it is equal to 1 minus 0 .9 whole power 5 minus 5 into 0 .1 into 0 .9 whole power 4.
02:18
So we get p of x greater than 1 equal to 0 .07449.
02:30
And in p we want to find the probability that our 10 sample is the first sample at which x exceeds 1.
02:39
This means that the first 9 hours x does not exceed...