in clinical trials a certain drugs has a 8% success rate of curing a known diseases. If 15 people are known to have the diseases, what is the probability that at least 2 are cured?
Let "X=" the number of cured people: "X\\sim Bin(n, p)."
Given "n=15, p=0.08, q=1-p=1-0.08=0.92."
Then
"=1-\\dbinom{15}{0}(0.08)^0(0.92)^{15-0}-\\dbinom{15}{1}(0.08)^1(0.92)^{15-1}"
"\\approx1-0.28629740407-0.37343139661"
"\\approx0.340271"
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