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9 February, 07:15

The number of nails of a given length is normally distributed with a mean length of 5 in. and a standard deviation of 0.03 in. In a bag containing 120 nails, how many nails are more than 5.03 in. long?

a. about 38 nails

b. about 41 nails

c. about 16 nails

d. about 19 nails

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  1. 9 February, 08:14
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    The length 5.03 inches belonged to the first range of span of standard deviation. The probability of having length below 5.03 is equal to 68%. The pro probability of having length above 5.03 therefore is (100-68) / 2 or equal to 16%. 16% of 120 nails given is 19.2 or D. about 19 nails.
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