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1.The length of a paper produced by a paper production plant is normally distributed, having a standard deviation of 0.0004 cm and a mean length

1.The length of a paper produced by a paper production plant is normally distributed, having

a standard deviation of 0.0004 cm and a mean length of 0.002 cm.

(a) Calculate the probability that the length of a paper exceeds 0.0026 cm? (10 points)

(b) Find the probability that the length of the paper is between 0.0014 cm and 0.0026 cm?

(5 points)

(c) What variance of lengths is required so that the probability in the previous part (part b)

is 0.995? (5 points)

Use the Standard Normal Distribution tables to solve this question and show all calculations.

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