In an automated soldering operation, the location at which thesolder is placed i

Question

In an automated soldering operation, the location at which thesolder is placed is very important. The deviation from the centerof the board is a normally distributed random variable with a meanof 0 inches and a standard deviation of 0.01 inches. (A positivedeviation indicates a deviation to the right of the center and anegative deviation indicates a deviation to the left of thecenter).

a) What is the probability that on a given board the actuallocation of the solder deviated by less than 0.005 inches (inabsolute value) from the center?

b) What is the probability that on a given board the actuallocation of the solder deviated by more than 0.02 inches (inabsolute value) from the center?

Explanation / Answer

In an automatedsoldering operation, the location at which the solder is placed isvery important. The deviation from the center of the board is anormally distributed random variable with a mean of 0 inches and astandard deviation of 0.01 inches. (A positive deviation indicatesa deviation to the right of the center and a negative deviationindicates a deviation to the left of thecenter).     {Mean} = = 0      {Std Dev} = = 0.01      {Normal Z Distribution} ---->   Z = (X - )/ a) What is the probability that on a given board the actuallocation of the solder deviated by less than 0.005 inches (inabsolute value) from thecenter?     = Prob{((-0.005) - (0))/(0.01)

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