GATE Overflow - Recent questions tagged exponential-distribution
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Powered by Question2AnswerMA 2014
https://gateoverflow.in/152976/ma-2014
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 mixed and sold together. Given that a bulb purchased at random is working after 12 months, the probability that it was manufactured at plant A is _____<br />
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GIVEN ANSWER: 0.92 to 0.94Probabilityhttps://gateoverflow.in/152976/ma-2014Sun, 17 Sep 2017 16:40:39 +0000GATE2004-IT-33
https://gateoverflow.in/3676/gate2004-it-33
<p>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</p>
<ol style="list-style-type: upper-alpha;">
<li>(1/(α + β))</li>
<li>min (α, β)</li>
<li>(αβ/(α + β))</li>
<li>α + β</li>
</ol>Probabilityhttps://gateoverflow.in/3676/gate2004-it-33Sun, 02 Nov 2014 08:50:57 +0000