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It is observed that 25% of the cases related to child labour reported to the polic station are solved. If 6 new cases are reported, then the probability that atleast 5 of them will be solved isA. `(1/4)^(6)`B. 19/1024C. 19/2048D. 19/4096 |
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Answer» Correct Answer - D Here, n=6 `p=25%=1/4,q=1-p=3//4` Let X be the random variable, which denotes the number of cases that police station are solved. `therefore` According to question, `P(X=5)+P(X=6)` `=""^(6)C_(5)(p)^(5)(q)^(6-5)+""^(6)C_(6)(p)^(6)(q)^(6-6)` `=""^(6)C_(1)(1/4)^(5)(3/4)^(1)+""^(6)C_(0)(1/4)^(6)(3/4)^(0)` `=1/((4)^(6))[6xx3+1]=19/4096` |
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