InterviewSolution
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InterviewSolution
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If the probability density function of a random variable X is given as then F(0) is equal to A. `P(Xlt0)`B. `P(Xgt0)`C. `1-P(Xgt0)`D. `1-PXlt0)` |
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Answer» Correct Answer - C We know that, cumulative distribution function `F(x)=P(Xlex)` `therefore" "F(0)=P(Xle0)` `=P(x=0)+P(x=-1)+P(x=-2)` `=0.15+0.3+0.2=0.65` (a) `P(Xlt0)=P(x=-1)+P(x=-2)` `=0.3+0.2=0.5` `therefore" "P(Xlt0)neF(0)` (b) `P(Xgt0)=P(x=1)+P(x=2)` `0.25+0.1=0.65` `therefore" "P(Xgt0)neF(0)` (c ) `1-P(Xgt0)=1-0.35=0.65` `therefore" "1-P(Xgt0)=F(0)` Hence, option (c ) is correct |
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