SOLUTION: The accuracy of an automatic pitching machine is based on the off-line distance that a pitch is from a target at a distance of 30m. The off-line distance is distributed normally w

Question 1177906: The accuracy of an automatic pitching machine is based on the off-line distance that a pitch is from a target at a distance of 30m. The off-line distance is distributed normally with a mean of 0.0m and a standard deviation of 0.05m. A machine will not meet safety standards and will be rejected if its off-line distance is greater than 0.15m. Determine what percentage of machines will be rejected.
Thank you so much
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
This will not meet standards if |d)> 3 sd from the mean.
That probability is 0.0027 or 0.27%
Its off-line distance means it can be 3 sd in either direction, so you have to double your result. I often write with the absolute value of the sd in this type of problem.

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