GATE (TF) Textile 2020 Question Paper Solution | GATE/2020/TF/42

Question 42 (Textile Engineering & Fibre Science)

If the probability density function of a continuous random variable $X$ is given by $f(x) = e^{-x}, 0\leq x < \infty$ , the mean of random variable $X$ is __1__.

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Probabilty density function=1

Mean= $\int_{0}^{\infty} f(x) dx$

Mean= $\int_{0}^{\infty} e^{-x}dx$

Mean= $\left [ -e^{-x} \right ]_{0}^{\infty}$

Mean=-(0-1)

Mean=1 (Ans)

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