InterviewSolution
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InterviewSolution
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The probability that a person who undergoes kidney operation will recover is 0.5. Find the probability that of six patients who undergo similar operations. (a) Non will recover. (b) Half of them will recover. |
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Answer» Since there are six patients, `n=6.` If a patient recovers, the outcome is a success. Thus, `P=p` (success) `=0.5and q=1-p=0.5` Let X: No. of patents, who recovered out of 6. Then `X~B(n=6,p=0.5)` The p.m.f. of X is given as, `P(X=x)=p(x) ""^(6)C_(x)(0*5)^(x)(0*3)^(6-x), x=0, 1,2,3,4,5,6.` (i) Probability (non will reconver) `=P (X=0)` `=""^(6)C_(0)(0*5)^(0)(0.5)^(6)` `=(1)*(1)*(0*5)^(6)` `=0*015625` (ii) Probability (half of them will recover)=P `(X=3)` `=""^(6)C_(3)(0*5)^(3)(0*5)^(3)` `=20xx0*125xx0*125=0*3125` |
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