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1.The weight of a mechanical component is normally distributed with a mean of 22 oz. and a standard deviation of 0.5 oz. a)What is the

1.The weight of a mechanical component is normally distributed with a mean of 22 oz. and a standard deviation of 0.5 oz.

a)What is the probability that a component weighs more than 23 oz.?

b)What must the standard deviation of weight be in order for the company to state that 99.9% of its components are less than 23 oz.?

c)If the standard deviation remains at 0.5 oz., what must the mean weight be in order for the company to state that 99.9% of its components are less than 23 oz.

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