# Math grd 12

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The number of nuts in a package of Nutty's premium cashews is normally distributed with mean of 432.4 nuts and standard deviation of 5.8 nuts packages with fewer than 420 nuts or more than 445 nuts will be rejected by quality control

a) what is the probability that a package selected at random will fall within the acceptable quality control range?
b) in a production run of 50,000 packages of nuts, how many can be expected to be rejected?

• Math grd 12 -

a. Z = (score-mean)/SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to those Z scores.

b. Sum the two proportions and multiply by 50,000.

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