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 5 mg and a standard deviation of 0.1 mg. (You may need to use a table or technology. Round your answers to four decimal places.) What is the probability that a randomly selected capsule contains less than 4.8 mg of vitamin E? What is the probability that a randomly selected capsule contains at least 5.5 mg of vitamin E?
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Probability of a randomly selected capsule containing less than 4.8 mg of vitamin E: We can use the normal distribution formula to calculate this probability. Let X be the amount of vitamin E in a capsule. Then, we want to find P(X < 4.8). Using the mean and Show more…
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