@user130512 I am getting a little confusing because shouldn't the expected value be the sum of all the values, but wouldn't that mean I will have to change y multiple times?

The median is the point of equal areas on either side. The mean is the point of balance, which is basically the center of mass if the probability density function was solid. Median = ∫M −∞ f(x)dx …

The joint density function of two continuos random variables X and Y is given by: f(x, y) = 8xy if 0 ≤ y ≤ x ≤ 1 and 0 otherwise. Calculate P(X ≤ 1 2) P(X≤12) Calculate P(Y ≤ 1 4 ∣ X = 1 2) …

Apr 26, 2017 · Find the probability density function of X X. I am not sure but my guess is the derivative of cumulative distribution function gives you the probability density function???

Mar 1, 2021 · In these portions of the domain, the CDF is unchanged, so they have no effect on probabilities. In this particular problem, you can split up the integral used to calculate the …

I have tried to calculate skewness and kurtosis directly from probability density function (PDF) without knowing the original data. I have many data sets and I have made PDFs from these …

But defining the new random variable Y is in my view a more "probabilistic" approach. Your distribution is a special case of the Laplace distribution, which in addition to a location …

Is it possible to calculate probability density function from a data set of values? I assume this should be some kind of a function fitting exercise.

Oct 28, 2021 · In this example, the underlying probability density function is the normal distribution, with mean, μ = 0 μ = 0, and variance σ2 = 1 σ 2 = 1. In this example, I know the …

Nov 4, 2019 · I want to find the expected value of a random variable whose density function is f(x) = {2xe − x2, x> 0 0, x ≤ 0.