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__.

Answer / Solution

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=1 (Ans)

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