GATE Questions & Answers of Discrete and Continuous Distributions

What is the Weightage of Discrete and Continuous Distributions in GATE Exam?

Total 4 Questions have been asked from Discrete and Continuous Distributions topic of Probability and Statistics subject in previous GATE papers. Average marks 1.50.

A fair coin is tossed n times. The probability that the difference between the number of heads and tails is (n-3) is

Let X be a random variable with probability density function

fx=0.2,for x10.1,for 1<x40,otherwise

 

The probability P(0.5 < X < 5) is ___________.

Lifetime of an electric bulb is a random variable with density f(x) = kx2, where x is measured in years. If the minimum and maximum lifetimes of bulb are 1 and 2 years respectively, then the value of k is ________.

A continuous random variable X has a probability density function f(x)=e-x,0<x<.Then P{X>1} is