# Tag Info

Accepted

### Confusion about the probability of a continuous random variable at a given point

The question wording leaves a little bit of room for interpretation, but I would assume that they mean that the chosen battery lasts exactly 5 years. Not: after 5 years, it's still going. If you do as ...
• 7,702

### Confusion about the probability of a continuous random variable at a given point

Ruben gave a very good answer with the lifespan of five years, exactly, which seems to be what the people who wrote the question wanted. But .... I think that's kind of a weird way to think of the ...
• 125k
Accepted

### What is the median of the minimum or maximum of multiple samples?

Let the distribution function of the variable $X$ be $F.$ Given any number $y,$ the chance that the minimum of $k$ iid copies of $X$ exceeds $y$ is the chance that all of those $k$ values exceed $y.$ ...
• 328k

### Confusion about the probability of a continuous random variable at a given point

Ruben and Peter Flom have given the relevant practical answers but I want to point out that conditioning on events with probability 0 is in fact not always a well defined undertaking. If you have no ...
• 2,892
Accepted

### Is simple random sampling an assumption on the probability measure in the abstract probability measure space?

I would like to leave an answer based on my understanding of whuber's comments above. The interpretation in my question above appears to be correct. As whuber points out, the mechanism of simple ...
• 289
1 vote
Accepted

### What are some methods to estimate analytical PDF of random variable from an intricate expression of random variables?

One good option: kernel density estimation (KDE) A reasonable option that is easily scalable to highly complicated cases is to generate data from the exact distribution using the stipulated ...
• 129k
1 vote

### Calculating the joint pdf of linearly dependent random variables $X$ and $Y=X$

As already explained in comments, there is no joint density in the plane, because all the probability mass of $(X, X)$ is concentrated on the diagonal $y=x$. There is a density on that diagonal, but ...
• 81.4k
1 vote

### Sampling the hitting time of a Brownian motion with drift

This is the Inverse Gaussian distribution. Some programs have a random number generator for this distribution, such as R's rinvgauss.

Only top scored, non community-wiki answers of a minimum length are eligible