# Recent content by BGM

1. ### Double or combined propbability

From the tennis rule, a player have a second serve only when he lose the first serve. So I will interpret the figure 20% as a conditional probability, conditional on the first serve already lost. Then a player losing a serve if and only if he lose both first and second serve. The probability...
2. ### Combining Random Variables

I guess the expected value and variance you quote is obtained by summing the two random variables, but what you are doing is mixing the two random variable to get a mixture. So they are not the same thing.
3. ### Density probability function considering a subinterval which have different probabilities

So in general when you calculating the probability that a continuous random variable falls into the range (a, b), with a given CDF you simply calculate F(b) - F(a); if only pdf is given you need to integrate the pdf from a to b. Some distribution like normal has no closed-form expression for the...
4. ### Density probability function considering a subinterval which have different probabilities

1. Note the unit of the time X in your model is in hour (in a day) - so X ~ Uniform(16, 18) and now you are asking for the probability with in a 15 mins time interval, so 15 mins / 2 hrs = 1/8 (Since the density is rectangular and the area of the rectangle is proportional to the base for the...
5. ### Generalised Lambda Distribution

Just the first google result: https://www.rmetrics.org/sites/default/files/2012-05-generalizedLambda.pdf