SOLUTION: 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

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Question 162178This question is from textbook
: 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?
 This question is from textbook

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the z score, z=%28x-mu%29%2Fsigma,
with x=the value you're interested in,
mu is the mean
sigma is the standard deviation.
Then use a lookup table, calculator, or NORMSDIST in Excel.
.
.
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a) z=%282-2%29%2F0.3=0, p=0.5
b) z=%281-2%29%2F0.3=-3.333, p=0.000429
c) z=%283-2%29%2F0.3=3.333, p=0.999571,
Also, p=1-0.000429=0.999571