A new antibiotic is effective for 85% of infections. The antibiotic is given to 40 patients.
a) Verify that this is a binomial setting and write it in notation.
b) Describe what P(X=35) means in context.
c) What is the probability that the antibiotic will work in at least 35 of the 40 patients?
d) What is the probability that the antibiotic will work in less than half of the patients?

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