I have a problem regarding CLT:
"The lengths of mass produced nails are normally distributed with a mean of and variance of . 16 nails are randomly chosen and laid end to end.
What is the probability that its length exceeds 48.5cm?"
This is my working out, I'm not sure what i am doing wrong:
Let , where are identically and independently distributed variables.
So, each of ~
We need to find . So
Then, I'm stuck here. Any help will be greatly appreciated thanks(Itwasntme)