Question 673950
It is known that a certain prescription drug produces undesirable side effects in 30% of all patients who use it. Among a random sample of 8 patients using the drug, find the probability of each event. Round each answer to the nearest hundredth.
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Binomial Problems with n = 8 ; p(side effects) = 0.3 ; p(no side) = 0.7
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a) None have undesirable side effects
P(8 have no side) = 0.7^8 = 0.0576
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b) Exactly one has undesirable side effects
P(x = 1) = 8C1*0.3*0.7^7 = 8*0.3*0.0824 = 0.1977
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c) Exactly two have undesirable side effects
P(x = 2) = 8C2*0.3^2*0.7^6 = 28*0.09*0.1176 = 0.2965
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d) More than two have undesirable side effects
p(3<= x <=8) = 1 - binomcdf(8,0.3,2) = 0.4482
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Cheers,
Stan H.
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