Question

2) During this virus panpidemic, there has been a flurry of biotech companies working round the clock to find a vaccine for the virus. One manufacturer claims to have invented a vaccine that is 80% effective within 24-48 hours. Assume vaccine effectiveness follows a binomial distribution. A group of 100 patients are quarantined in a hospital and treated with the vaccine. a) What is the probability that 75 patients will be cured within 24-48 hours? b) What is the probability that all patients will be cured within 24-48 hours?

Answer 1

(a)

Using continuity correction factor,  the probability that 75 patients will be cured within 24-48 hours is

P(X=75) = P(74.5 < X < 75.5)

(b)

Using continuity correction factor,  the probability that all patients will be cured within 24-48 hours is

P(X=100) = P(99.5 < X < 100.5)

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