00:01
So for this problem, i'm just going to quickly define my events that event g is that the gun detects speeding.
00:08
And event d is that the driver was actually speeding.
00:14
So it seems like you have part a and part b done correctly there.
00:18
So for part c, we are looking for the probability of d complement.
00:26
So the probability that the driver was not speeding, given that the gun detected, speeding.
00:35
So we would find that by taking the probability of the gun detecting speeding, given that the driver was not speeding, times the probability that the driver was not speeding, divided by the overall probability of the gun detecting speeding.
00:55
So we know from, let's see here, from part b, probability that the gun detects speeding and the driver was not speeding oh actually we can do a different version of bays's formula here so alternatively that numerator could just be probability of driver not speeding and the gun detecting speeding or detected speeding so for the numerator that would just be the answer from part b 0 .0213 then we divide that by the overall probability that the gun detects speeding which would be the probability that the gun detect speeding, given that the person was speeding...