The Probability Density Function (PDF) Introduction So far, you learned about discrete random variables and how to calculate or visualize their distribution functions. In this lesson, you'll learn ...

Understanding continuous random variables is essential in statistics, as they form the foundation for modelling and analysing real-world data that varies smoothly rather than in steps. Use this page ...

The Probability Density Function (PDF) Introduction So far, you learned about discrete random variables and how to calculate or visualize their distribution functions. In this lesson, you'll learn ...

A probability density function, also known as a bell curve, is a fundamental statistics concept, that describes the likelihood of a continuous random variable taking on a specific value.

The next statement shows how to compute the probability that continuous random variable X with pdf f (x) lies in the interval [a,b]. The cumulative density function (cdf) for random variable X with ...

The probability density function (pdf) describes the distribution of a continuous random variable. The probability that a random variable assumes an outcome in a given interval are computed by finding ...

Observed values of a random variable are denoted by corresponding lower-case letters, thus x or x1,x2...xn denote the specific values that the random variable X can take on. The notation P (X = x) ...

Moments of continuous random variables admitting a probability density function are studied. We show that, under certain assumptions, the moments of a random variable can be characterized in terms of ...