GATE Questions & Answers of Random Variables

What is the Weightage of Random Variables in GATE Exam?

Total 3 Questions have been asked from Random Variables topic of Probability and Statistics subject in previous GATE papers. Average marks 1.33.

Two independent random variables X and Y are uniformly distributed in the interval [–1, 1]. The probability that max[X, Y] is less than 1/2 is

X  is a uniformly distributed random variable that takes values between 0 and 1.The value of E{X3} will be

A loaded dice has following probability distribution of occurrences

Dice value 1 2 3 4 5 6
Probability 1/4 1/8 1/8 1/8 1/8 1/4

If three identical dice as the above are thrown, the probability of occurrence of values 1, 5 and 6 on the three dice is