00:01
Okay, so we need to set up a new normal distribution here with mean the same at 50.
00:07
Standard deviation is going to be standard error of the mean, which is 5 over square root 100 or 0 .5.
00:15
First of all, for part a here, we're looking at the probability that x is less than 47.
00:20
So in other words, probability z is less than 40 minus 50 over 0 .5.
00:36
So the probability z falls below minus 6 standard deviations below the mean.
00:45
This probability is incredibly small and it's essentially zero.
00:51
Error.
00:52
For part b here, probability x lies between 47 and 49 .5.
01:01
We found the z -score for 47 is minus 6, and the z -score for 49 .5, well this is just one standard deviation below the mean, so minus 1...