InterviewSolution
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InterviewSolution
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Thep.d.f of a continous random variable X is `f(x) = (x^(2))/(3), - 1 lt 1 lt 2` 0 = otherwise Then the c.d.f of X isA. `(x^(3))/(9)+(1)/(9)`B. `(x^(3))/(9)-(1)/(9)`C. `(x^(2))/(4)+(1)/(4)`D. `(1)/(9x^(3))+(1)/(9)` |
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Answer» Correct Answer - A Given, `f(x)=(x^(3))/(3)-1lt x lt 2` 0 otherwise c.d.f. of x is `F(x)= int_(-1)^(x)f(y)dy` `=int_(-1)^(x)(y^(2))/(3) dy` `=1/9[y^(3)]_(-1)^(x)` `=1/9 (x^(3)+1)` Hence, correct answer from the given alternatives is (a). |
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