The length of satisfactory service (years) provided by a certain model of laptop computer is a random

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The length of satisfactory service (years) provided by a certain model of laptop computer is a random variable having the probability density

\[f(x)= \begin{cases}\frac{1}{4.5} e^{-x / 4.5} & \text { for } x>0 \\ 0 & \text { for } x \leq 0\end{cases}\]

Find the probabilities that one of these laptops will provide satisfactory service for

(a) at most 2.5 years;

(b) anywhere from 4 to 6 years;

(c) at least 6.75 years.

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Related Book For  book-img-for-question

Probability And Statistics For Engineers

ISBN: 9780134435688

9th Global Edition

Authors: Richard Johnson, Irwin Miller, John Freund

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