00:01
In this question, we give a particular radar missile detection system has a probability of 0 .85 of detecting a missile attack.
00:09
I'm going to let x be the number of detection systems are n that will detect and attack.
00:16
Now, we are to assume that these detection systems work independently from each other.
00:21
So, x will follow the binomial distribution with n trials, and p, probability of success in a single trial, and that will be probability of a system being able to detect attack.
00:31
And there will be 0 .85.
00:38
So probability x equals to r, where r is the number of detection system out of n that is able to detect an attack, that will be n choose r, times 0 .85 to power r, and 1 minus 0 .85, 0 .15 to the power of n minus r.
01:02
In part a, i want to find probability a single detection system will detect attack.
01:10
That will just be 0 .85.
01:14
In b, we're given that there are two detection systems and they operate independently.
01:21
So the number of trials will be 2.
01:24
I want to find probability at least one of the systems will detect the attack...