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Recent questions tagged exponential-distribution

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The time to failure, in months, of light bulbs manufactured at two plants A and B obey the exponential distribution with means 6 and 2 months respectively. Plant B produces four times as many bulbs as plant A does. Bulbs from these plants are indistinguishable. They are ... random is working after 12 months, the probability that it was manufactured at plant A is _____ GIVEN ANSWER: 0.92 to 0.94
asked Sep 17, 2017 in Probability Amit puri 467 views
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Let $X$ and $Y$ be two exponentially distributed and independent random variables with mean $α$ and $β$, respectively. If $Z$ = min $(X, Y)$, then the mean of $Z$ is given by $\left(\dfrac{1}{\alpha + \beta}\right)$ $\min (\alpha, \beta)$ $\left(\dfrac{\alpha\beta}{\alpha + \beta}\right)$ $\alpha + \beta$
asked Nov 2, 2014 in Probability Ishrat Jahan 7.8k views
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