# GATE (TF) Textile 2022 Question Paper Solution | GATE/2022/TF/26

###### Question 26 (Textile Technology & Fibre Science)

If the probability density function of a continuous random variable X is given by then the value of is

Probability density function=1           ### What is probability density function ?

A probability density function (pdf) is a mathematical function that describes the likelihood of obtaining the values of a continuous random variable within a certain range. It provides a continuous analogue to the discrete notion of a probability mass function, which is used for discrete random variables. The pdf assigns a probability to each value of the random variable, with the probabilities for all values summing to 1. The height of the pdf at a given value represents the probability density, or likelihood, of obtaining that value. The pdf is a fundamental tool in probability theory and statistics, and is used in a wide range of applications, including statistical modeling, estimation, and hypothesis testing.