00:01
Hey there, welcome to numerate.
00:03
So we have a detection system on missile attacks right here, where we have each detection system with the probability of 0 .92.
00:14
So we're going to do part a first.
00:16
This is a binomial probability problems.
00:19
So this is the equation above.
00:21
So with this, our first probability is basically we're given a sample size of 1 and a success of 1.
00:31
Success is basically the single detection system will detect an attack.
00:37
Alright, so we're going to plug into our equation here, p of 1 equals.
00:42
So this notation right here with the parentheses is combination.
00:46
So we have n as 1 and x is 1.
00:49
Probability here is 0 .92 given, raise to the 1 times 0 .08, because 1 minus 0 .092 is 0 .08.
01:02
N minus x is 1 minus 1, which is 0.
01:06
We calculate the probability of 1, and we just get the probability itself, which is 0 .92.
01:17
All right.
01:18
So with this now, we can do part b.
01:21
Part b is now we're given a sample size of 2, and we want to see if at least 1 will detect this attack, so it will be greater than an equal to 1...