# Questions tagged [exponential-distribution]

To be used for questions on using, finding, or otherwise relating to Exponential Distributions.

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### The time it takes for a candle having a lifetime that follows an exponential distribution to go off

We have $5$ candles each having a lifetime which follows an exponential distribution with parameter $\lambda$. We light up each candle at time $t=0$. Assume that $Y$ is the time that it takes for the ...
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### Adding vs multiplying means and variances of exponential distribution

If X1 and X2 are both random variables with the same exponential distribution, what would the mean and variance be of X1+X2? What would the mean and variance be of 2(X1)? I assumed that both mean and ...
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### Anderson-Darling test statistic

The Anderson-Darling test statistic is defined as Why is it useful in testing whether an exponential distribution appropriate or not to model the quakes dataset referring to the probability plot and ...
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### Complete and sufficient statistic

Let $X_1\dots X_n$ be iid observations with pdf $f(x|\theta)=e^{-(x-\theta)}e^{-e^{-(x-\theta)}}$ for $-\infty<x<\infty$ and $-\infty<\theta<\infty$. I need to find a complete sufficient ...
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### Four students are giving presentations

In four sections of a course, running (independently) in parallel, there are four students giving presentations that are each Exponential in length, with expected value of 10 minutes each. How much ...
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### $\mathbb P(X_1 < X_2)$, given that $X_1$ and $X_2$ are both exponentially distributed.

In a tutorial exercise I am asked to determine: $\mathbb P(X_1 < X_2)$, given that $X_1$ and $X_2$ are both independently exponentially distributed with the same parameter $\lambda$. I would be ...
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### lifespan exponential distribution problem [closed]

I'm preparing myself for the random process test. I do not know how to solve this problem. We have five lamp whose lifespan each follows an exponential distribution with the Landa parameter. We light ...
30 views