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a) The lengths of pins produced by a machine follow a normal distribution with mean 2.54 cm and standard derivation 0.04 cm. A pin is rejected if its length is less than 2.44 cm or more than 2.60 cm. Find the percentage of pins that are accepted.

b) If it is decided that 2.5% of the pins are to be rejected because they are too long and 2.5% because they are too short, determine the new range of acceptable lengths.

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Statistics and Probability, Statistics

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