SOLUTION: " A machine produces bolts with an average of 0.51 inch and standard deviation of 0.01 inch. a.) What percentage of the total production would posses bolt diameter from 0.48 to 0.

Question 1074671: " A machine produces bolts with an average of 0.51 inch and standard deviation of 0.01 inch.
a.) What percentage of the total production would posses bolt diameter from 0.48 to 0.54?
b.) What wil be the diameter if the total production percentage is 78.23% to the right of -Z.?"
thank you.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
the first is the probability |z|<3. That is 99.73%.
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I'm not clear about the wording of the second part.
78.23% will have a z value from (-infinity to z=0.78)
If a bolt has a diameter of 0.5178 in, it is at the 78.23% ile of all bolts.
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