A machine precision-cuts tubing such that = 40.00 inches and = 0.03 inch. If the

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A machine precision-cuts tubing such that μ = 40.00 inches and σ = 0.03 inch. If the lengths are normally distributed, find the probability that a piece of tubing selected at random measures
(a) Greater than 40.05 inches.
(b) Less than 40.045 inches.
(c) Between 39.95 and 40.05 inches.
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