The probability density function of the random annual energy consumption (X ) of an enterprise in (10 8 mathrm kwh ) is f(x) 30(x 2) 2 left 1 2(x 2) (x 2) 2 ight , quad 2 leq x leq 3 (1) Determine the distribution function of (X ) What is the probability that the annual energy consumption exceeds 2...

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The probability density function of the random annual energy consumption (X) of an enterprise [in (10^{8} mathrm{kwh})

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The probability density function of the random annual energy consumption $X$ of an enterprise [in $10^{8} \mathrm{kwh}$ ] is

\[f(x)=30(x-2)^{2}\left[1-2(x-2)+(x-2)^{2}\right], \quad 2 \leq x \leq 3\]

(1) Determine the distribution function of $X$. What is the probability that the annual energy consumption exceeds 2.8 ?

(2) What is the mean annual energy consumption?

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Applied Probability And Stochastic Processes

ISBN: 9780367658496

2nd Edition

Authors: Frank Beichelt

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Question Posted: Apr 26, 2024 04:00 PM

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The probability density function of the random annual energy consumption (X) of an enterprise [in (10^{8} mathrm{kwh})

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Applied Probability And Stochastic Processes

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