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What is the probability that diameter of a randomly selected

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Problem 1: Find the indicated probability.

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. What is the probability that the diameter of a randomly selected pencil will be less than 0.285 inches?

Option 1: 0.0668

Option 2: 0.9332

Option 3: 0.4332

Option 4: 0.0596

Problem 2: Assume that women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 90 women are randomly selected, find the probability that they have a mean height between 62.9 inches and 64.0 inches.

Option 1: 0.9318

Option 2: 0.1739

Option 3: 0.7248

Option 4: 0.0424

Reference no: EM132723028

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