### Normal distribution with mean and standard deviation

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Researchers at a pharmaceutical company have found that the effective time duration of a safe dosage of a pain relief drug is normally distributed with mean 2 hours and standard deviation 0.3 hour. For a patient selected at random:

a) What is the probability that the drug will be effective for 2 hours or less?

b) What is the probability that the drug will be effective for 1 hour or less?

c) What is the probability that the drug will be effective for 3 hours or more?

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