Dr. Threpio has developed a new procedure that he believes can correct a life-threatening medical condition. If the success rate for this procedure is 78%and the procedure is tried on 10 patients, what is the probability that at least 7 of them will show improvement?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Dr. Threpio has developed a new procedure that he believes can correct a life-threatening medical condition. If the success rate for this procedure is 78%and the procedure is tried on 10 patients, what is the probability that at least 7 of them will show improvement?

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Step 1- Writing given data

Given that 

Dr. Threpio has developed a new procedure that he believes can correct a life-threatening medical condition .

Success rate = 78% = 0.78 = P

(1-P) = (1-0.78) = 0.22

The procedure is tried on 10 patients

Sample size (n) = 10

We know that 

Binomial probability = P(X=x)= P(X=x) =nCxxPxx(1-P)(n-x)

 

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