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The weights of individual nails produced by the 'Hammer 'n Nail' hardware company follow a normal distribution with the average nail weight being 5.1 grams and the standard deviation in nail weight being 1.6 grams. When a nail is produced it is discarded if it weighs more than 8.268 grams. Calculate the probability that a randomly selected nail is not discarded. Give your answer as a decimal to 4 decimal places.

Probability =

  • Math -

    Z = (score-mean)/SD = (8.268-5.1)/1.6 = ?

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to that Z score.

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