Discuss the below:
Q: The time taken to install bumpers on cars passing through a particular assembly line is normally distributed with mean time u=2.00 minutes and standard deviation =36 minutes. A sample on n=100 is obtained and a mean bumper installation time X-bar will be calculated.
1.	Find the value of standard deviation X bar.
Determine the probability that Xbar will
2.	Lie between 2.07 and 1.93
3.	Exceed 1.98 minutes
4.	Fall below 1.94
5.	Lie between 2.02 and 2.08
6.	Fall above 2.05