2. A printer ink cartridge has a life of X hours. The variable X is modeled by the probability density function \( f(x) = \begin{cases} 400x^{-2} & x \geq 400 \\0 & \text{otherwise} \end{cases} \)Calculate a) median lifetime of these cartridges b) value of \( b \) such that \( P(X \leq b) = 0.6 \)

For a continuous random variable, X, with probability density function fx, the probability that X…

Answered: 2. A printer ink cartridge has a life…

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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2. A printer ink cartridge has a life of X hours. The variable X is modeled by the probabi density function f(x) = 400x-2 x > 400 otherwise Calculate a) median lifetime of these cartridges b) value of b such that P(X < b) = 0.6