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The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches.

The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches.

[A] If one pencil is chosen at random, what is the probability that its diameter is less than 0.295 inches? Round to 4 decimal places.

[B] In a sample of 450 pencils, how many would you expect to have a diameter less than 0.295 inches? Round to the nearest whole number.

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