GATE CS 2022 : Engineering Mathematics -7

Which one of the following random variable is discrete?

Let X be a random variable that is uniformly distributed on [–1, +1]. If Find the variance of Y. (Round the answer upto two decimal places)

Let X be a contiinous random variable with the following probability density function.

Find the variance of X. (Round upto two decimal places)

Given a PDF, f(x)= x/12, 1≤ x≤ 5 .

What is the variance of the given function_______________ (Round upto 2 decimal places).

Consider the following table:
 
Assume X is a random variable, The variance of the distribution is