GATE Overflow for GATE CSE - Recent questions tagged exponential-distribution
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Powered by Question2AnswerApplied Course | Mock GATE | Test 1 | Question: 12
https://gateoverflow.in/295743/applied-course-mock-gate-test-1-question-12
<p>The number of miles that a particular car can run before its battery wears out is exponentially distributed with an average of $10,000$ miles. The owner of the car needs to take a $5000$-mile trip. What is the probability that he will be able to complete the trip without having to replace the car battery?</p>
<ol style="list-style-type:upper-alpha">
<li>$0.5$</li>
<li>$0.604$</li>
<li>$0.72$</li>
<li>None</li>
</ol>Probabilityhttps://gateoverflow.in/295743/applied-course-mock-gate-test-1-question-12Wed, 16 Jan 2019 15:15:52 +0000ACE TEST SERIES QUESTION
https://gateoverflow.in/260263/ace-test-series-question
<p><img alt="" src="https://gateoverflow.in/?qa=blob&qa_blobid=2521366892047124754"></p>Probabilityhttps://gateoverflow.in/260263/ace-test-series-questionThu, 01 Nov 2018 16:03:55 +0000MA 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 />
<br />
GIVEN ANSWER: 0.92 to 0.94Probabilityhttps://gateoverflow.in/152976/ma-2014Sun, 17 Sep 2017 11:10:39 +0000GATE IT 2004 | Question: 33
https://gateoverflow.in/3676/gate-it-2004-question-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>$\left(\dfrac{1}{\alpha + \beta}\right)$</li>
<li>$\min (\alpha, \beta)$</li>
<li>$\left(\dfrac{\alpha\beta}{\alpha + \beta}\right)$</li>
<li>$\alpha + \beta$</li>
</ol>Probabilityhttps://gateoverflow.in/3676/gate-it-2004-question-33Sun, 02 Nov 2014 03:20:57 +0000