(Answered) A machine producing vitamin e capsules operates so that the

Statistics

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 6 mg and a standard deviation of 0.05 mg. Let x = the actual amount of vitamin E in a randomly selected capsule. (Round the answers to three decimal places.)

What is the probability that a randomly selected capsule contains less than 5.95 mg of vitamin E?

P ( x < 5.95 ) =

At least 6.2 mg?

P ( x ≥ 6.2 ) =

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