A machine producing vitamin E capsules operates so that the actual amount of vitamin E in each capsule is normally distributed with a mean of 4 mg and a standard deviation of 0.02 mg. (You may need to use a table. Round your answers to four decimal places.) What is the probability that a randomly selected capsule contains less than 3.98 mg of vitamin E? What is the probability that a randomly selected capsule contains at least 4.08 mg of vitamin E?
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We are given that the amount of vitamin E in each capsule is normally distributed with a mean (μ) of 4 mg and a standard deviation (σ) of 0.02 mg. We need to find two probabilities: one for a capsule containing less than 3.98 mg of vitamin E, and another for a Show more…
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A machine producing vitamin E capsules operates so that the actual amount of vitamin E in each capsule is normally distributed with a mean of 4 mg and a standard deviation of 0.05 mg. Let x = the actual amount of vitamin E in a randomly selected capsule. (Round your answers to four decimal places.) What is the probability that a randomly selected capsule contains less than 3.95 mg of vitamin E? What is the probability that a randomly selected capsule contains at least 4.25 mg of vitamin E?
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