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Recent questions tagged exponential-distribution

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Applied Course | Mock GATE | Test 1 | Question: 12
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? $0.5$ $0.604$ $0.72$ None

Applied Course asked in Probability Jan 16, 2019

by Applied Course

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ACE TEST SERIES QUESTION

Shankar Kakde asked in Probability Nov 1, 2018

by Shankar Kakde

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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 ... is working after 12 months, the probability that it was manufactured at plant A is _____ GIVEN ANSWER: 0.92 to 0.94

Amit puri asked in Probability Sep 17, 2017

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44 votes

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GATE IT 2004 | Question: 33
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 $\left(\dfrac{1}{\alpha + \beta}\right)$ $\min (\alpha, \beta)$ $\left(\dfrac{\alpha\beta}{\alpha + \beta}\right)$ $\alpha + \beta$

Ishrat Jahan asked in Probability Nov 2, 2014

by Ishrat Jahan

14.3k views

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Recent questions tagged exponential-distribution