Question: 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

A machine producing vitamin E capsules operates so that the actual amount of vitamin E in each capsule is normally distributed with a mean of6mg and a standard deviation of0.05mg. Letx= 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 than5.95mg of vitamin E?

P(x<5.95) =

At least6.2mg?

P(x6.2) =

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