00:01
Okay, so first of all, just before we sort of solve this question, set up our distribution.
00:05
So i'm going to say let x denote the incubation time of a type of fertilized egg kept at a certain temperature for 25 days of said fertilized egg.
00:33
Then x can be normally distributed or distributed normally with mean.
00:46
Give it in the question here.
00:48
It's 25 days.
00:53
Standard deviation is 2, so variance is 2 squared.
00:58
And we need to find and interpret the probability that a randomly selected fertilized egg takes less than 19 days to hatch.
01:07
So we want to find the probability that x is less than 19, which is equivalent to, well, using the standard normal distribution with mean 0, standard deviation 1 is equivalent.
01:27
So the probability z is less than 19 minus r mu which is 25 over our standard deviation which is 2 which is the probability that z is less than minus 6 over 2 which is minus 3...