SOLUTION: 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 de
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Question 129836: 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?
You can put this solution on YOUR website! 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?
That is the left half of the area under the normal curve; P(x<=2 hrx)= 1/2
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b) What is the probability that the drug will be effective for 1 hour or less?
t(1) = (1-2)/0.3 = -1/0.3 = -10/3
P(-10< t < -10/3 for df= large) = 0.000602
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c) What is the probability that the drug will be effective for 3 hours or more?
t(3) = (3-2)/0.3 = 1/0.3 = 10/3
P(10/3 < t < 10 for df= large) = 0.000602
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Cheers,
Stan H.
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