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A manufacturer produces widgets whose lengths are normally distributed with a mean of 6.8 cm and...

A manufacturer produces widgets whose lengths are normally distributed with a mean of 6.8 cm and standard deviation of 2.1 cm.

A. If a widget is selected at random, what is the probability it is greater than 6.8 cm.?_____

B. What is the standard deviation of the average of samples of size 36 ?______

C. What is the probability the average of a sample of size 36 is greater than 6.8 cm?_______

Round answer to four decimal places

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