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Probability Distributions — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsProbability Distributions1 Mark
Question
Let's return to the example in which $X$ has the following probability density function :
$f(x)=3 x^2$
for $0<x<1$. What is the cumulative distribution function $F(x)$ ?
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Answer

$F(x)=\int_{-0}^x f(x) d x=\int_0^x 3 x^2 d x=\left[x^3\right]_0^x=x^3$

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