# Tagged Questions

1answer
28 views

### Exponential Distribution as a density function

I have an important presentation on tuesday about the exponential distribuion as a density function. My question is: What are the advantages of using this function? In order to fulfill my task i have ...
2answers
41 views

### What's the density of $Z=\max(X,Y)-\min(X,Y)$ with $X,Y$ exponentials of parameter $\lambda$?

Let be $X,Y$ two independent exponential random variables with parameter $\lambda$. What is the pdf of $Z=\max(X,Y)-\min(X,Y)$? Thanks for your help.
2answers
38 views

4answers
112 views

### $X$ is $\text{Exp}(\lambda)$, $Y$ is $\text{Uniform}(0,X)$. How can I find $\Bbb E[Y]$ and $\text{Var}(Y)$?

$X$ is $\text{Exp}(\lambda)$, $Y$ is $\text{Uniform}(0,X)$. How can I find $\Bbb E[Y]$ and $\text{Var}(Y)$? I did tried to plug it like double integral of $\Bbb E[Y]$ from 0 to X which $f(t)$ is ...
0answers
44 views

### Determining a probability density function from histogrammed data

Data on a set of dwell times has been taken and the histogram of which has been fitted with the function: $$Ae^\frac {-t}{\tau_1} + Be^\frac {-t}{\tau_2}$$ where A is positive and B is negative. ...
1answer
320 views

### Exponential Probability Monte Carlo simulation

I need to write a Matlab program to estimate the quantity $\theta = \mathrm{Pr}(X < 1)$, where $X$ is an exponential random variable with mean $1$. I am doing this for multiple monte carlo ...
2answers
1k views

### How to calculate MEAN of exponential distribution?

$f(x) = \begin{cases} \frac15 e^{(-\frac15x)}, x>0 \\ 0, \text{elsewhere}\\ \end{cases}$ How to calculate $E[(X+5)]$ and $E[(X+5)^2]$ ? Thanks a lot.
1answer
624 views

### X1 X2 independent variables exponential distribution - Looking for simpler solution

Let $X_1 \sim \exp(\lambda)$ and $X_2 \sim \exp(\lambda)$ be two independent exponentially distributed random variables. Find the mean and variance of random variable $Y=X_1 + X_2$. \$x=x_1 + ...
4answers
5k views

### Difference between power law distribution and exponential decay

This is probably a silly one, I've read in Wikipedia about power law and exponential decay. I really don't see any difference between them. For example, if I have a histogram or a plot that looks like ...