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When designing the palcement of a CD player in a new model car, engineers must consider the forward grip reach of the driver. Woman have forward grip reaches that are normally distributed with a mean of 27.0 inches and a standard deviation of 1.3 inches. Find the percentage of women with forward grip reaches between 24.4 inches aqnd 29.6 inchest, Find the percentage of women with forward grip reaches less than 30.9 inches and Find the percentage of women with forward grip reaches between 27.0 inches and 28.3 inches.

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(a) We see that 24.4 = 27 - 2.6 = 27 - 2sigma and 29.6 = 27 + 2.6 = 27 + 2sigma

The interval [24.4, 29.6] is the 2-sigma interval. Therefore, the percentage of women with forward

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