Finding Normal Probabilities Worksheet With Answer Key Page 13
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19A more complicated example of normal probability
calculations
Part 1. A manufacturer of washing powder sells its powder in 32
ounce cartons. However the machine that fills the cartons is not
precisely accurate — assume that the amount actually delivered
to the carton has a mean that can be set by the manufacturer,
but the standard deviation is 0.3 ounces. Assume the curve is
normal.
If the machine was set to deliver (a mean of) exactly 32 ounces,
half the cartons would be underweight. To avoid this,the com-
pany sets the mean to be 32.5 ounces. In that case, what pro-
portion of cartons sold are underweight?
13
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