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Let X Be the Time to Failure of an Electronic E(X)=4 years E ( X ) = 4 \text { years }

Question 68

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Let X be the time to failure of an electronic component, and suppose X is an exponential random variable with E(X)=4 years E ( X ) = 4 \text { years } . Find the median lifetime, i.e., find M such that Pr(XM)=12\operatorname { Pr } ( X \leq M ) = \frac { 1 } { 2 } . Enter just a real number rounded to two decimal places (no units).

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