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One type of card stock which may be used for the cover of a booklet is uncoated

paper with weight marked as 65 lb. The standard thickness of 65# card stock is 9.5 points (0.0095"). A manufacturer determines that the thickness of 65# card stock produced follows a uniform distribution varying between 9.3 points and 9.8 points.

    a) Sketch the distribution for this situation.

    b) Compute the mean and standard deviation of the thickness of the 65# card stock produced.

    c) Compute the probability that a randomly-selected piece of 65# card stock has a thickness of at least 9.4 points.

    d) Compute the probability that a randomly-selected piece of 65# card stock has a thickness between 9.4 and 9.6 points.

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