Question 521267: Depakote is a medication whose purpose is to reduce the pain associated with migraine headaches. In clinical trials of Depakote, 2% of the patients in the study experienced weight gain as a side effect. Suppose a random sample of 30 Depakote users is obtained. Find the following probabilities:
a. Exactly 3 experienced weight gain as a side effect
b. 3 or fewer experienced weight gain as a side effect
c. 4 or more experienced weight gain as a side effect.
d. Between 1 and 4 patients, exclusive, experienced weight gain as a side effect.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Depakote is a medication whose purpose is to reduce the pain associated with migraine headaches.
In clinical trials of Depakote, 2% of the patients in the study experienced weight gain as a side effect.
Suppose a random sample of 30 Depakote users is obtained.
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Binomial Problem with n = 30 and p(side effect) = 0.02
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Find the following probabilities:
a. Exactly 3 experienced weight gain as a side effect
P(x = 3) = 30C3*0.02^3*0.98^27 = 0.0188
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b. 3 or fewer experienced weight gain as a side effect
P(0<= x <=3) = binomcdf(30,0.02,3) = 0.9971
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c. 4 or more experienced weight gain as a side effect.
P(4<= x <=30) = 1 - P(0<= x <=3) = 0.0029
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d. Between 1 and 4 patients, exclusive, experienced weight gain as a side effect.
P(1<= x <=4) = binomcdf(30,0.02,4) - binomcdf(30,0.02,0) = 0.4542
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Cheers,
Stan H.
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