Thread: Finding Standard deviation and mean value after finding z curve areas

The diameter length of contact windows used in integrated circuits is normally distributed. About 5% of all lengths exceed 3.75 micrometers and about 1% of all lengths exceed 3.85 micrometers. What is the mean value and standard deviation of the length distribution?

I did a reverse lookup of the z values and got 2 area values for x but what do I do next? I know I should be able to plug this into an equation but I am a little confused how I am suppose to do this.... any help or explanation would be greatly appreciated.

Originally Posted by cruxkitty

The diameter length of contact windows used in integrated circuits is normally distributed. About 5% of all lengths exceed 3.75 micrometers and about 1% of all lengths exceed 3.85 micrometers. What is the mean value and standard deviation of the length distribution?

I did a reverse lookup of the z values and got 2 area values for x but what do I do next? I know I should be able to plug this into an equation but I am a little confused how I am suppose to do this.... any help or explanation would be greatly appreciated.

remember,

Plug in your z values and the corresponding X values. You will then have two equations with two unknowns, . Solve the system simultaneously to find their values.