Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [exponential-distribution]

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

For an Exponential distribution as a probability density function:

$f(x;\lambda) =\lambda e^{-\lambda x}\quad$ for $x \ge 0 $

and

$f(x;\lambda) =0\quad$ for $x \lt 0 $

where $\lambda$ is the rate parameter.

1492 questions
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Exponential Distribution (advanced Statistics)

Suppose that accidents occur in a large industrial plant at a rate of $\lambda = \frac{1}{10}$ per day. Suppose we begin observing the occurrence of these accidents at the starting of the work on Monday. Let $X$ be the number of days until the first…
Shashank Dwivedi
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How to display exponential results?

So I have some results which are both exponential, but this is expected, however I want to graphically display these results. I think the best way to display them is via a line chart, but of course the exponential nature of the data makes the line…
user3667111
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About parameter of exponentially distributed random variable

In the attached figure, $h_{sr},h_{re_i},h_{ru_i}\sim \exp(1)$. How can authors claim that SNR is exponentially distributed with the rate as mentioned? Note that $\Gamma_r,\Gamma_{u_i}, \Gamma_{e_i}$ are SNRs (with noise normalized to 1)
SJa
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Exponential distribution - estimate population proportion

I have the following question: How do you estimate the population proportion of bulbs that survive at least 7 months without any assumption about the lifetime distribution? (with a mean of $0.4257$ years) What does this exactly mean and how do I…
NAA
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What is difference between Exponential distribution function and Cumulative Distribution function

I have two formulas and When should we use first and when the second one?
Pavel
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How to find pdf of exponential random variable given the mean

Let $X$ be a exponential random variable with mean $\beta$. How we can write the PDF of $X$ given mean $\beta$. Let $Y$ random variable define by $$ Y=\frac{P}{N}X$$ were $N$ and $P$ are positive real value. What is the PDF and CDF of Y.
BouMokhtar
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1 answer

Calculating a median reimbursement of a policy under a policy limit.

An insurance policy reimburses losses incurred by a policyholder subject to a limit of 1000. Losses follow an exponential distribution with mean 500. Calculate the median reimbursement for this policy. a.) 26 b.) 347 c.) 490 d.) 504 e.) 750
jgmoore
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How to compute joint pdf of f(x,y) =128e^(-8x-8y)?

I am asked to find the joint pdf of $f(x,y)=128e^{(-8x-8y)}$ where $0 < x < y< \infty$ or $0$ otherwise. find the following: $$E(X)= ?$$ $$E(Y)= ? $$ $$E[X(Y-X)]= ? $$
Madison
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