a drug tester claims that a drug cures a rare skin disease 79% of the time. The

Question

a drug tester claims that a drug cures a rare skin disease 79% of the time. The claim is checked by testing the drug on 100 patients. If at least 74 patients are cured, the claim will be accepted.
Find the probability that the claim will be rejected assuming that the manufacturer claim is true. Use the normal distribution to approximate the binomial distribution if possible. a drug tester claims that a drug cures a rare skin disease 79% of the time. The claim is checked by testing the drug on 100 patients. If at least 74 patients are cured, the claim will be accepted.
Find the probability that the claim will be rejected assuming that the manufacturer claim is true. Use the normal distribution to approximate the binomial distribution if possible. a drug tester claims that a drug cures a rare skin disease 79% of the time. The claim is checked by testing the drug on 100 patients. If at least 74 patients are cured, the claim will be accepted.
Find the probability that the claim will be rejected assuming that the manufacturer claim is true. Use the normal distribution to approximate the binomial distribution if possible.

Explanation / Answer

Solution:

n = 100

p = 0.79

q = 1 -0.79 = 0.21

binomia; probability distribution

Formula:

P(k out of n )= n!*pk * qn-k / k! *(n - k)!

P( x < 74 ) =  100!*0.7973 * 0.21100-73 / 73! *(100 - 73)! + ................ 100!*0.790 * 0.21100-0 / 0! *(100 - 0)!

= 0.0911

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