Categories

# MA6451 Question Bank Probability and Random Processes

## Sample MA6451 Question Bank questions:

1. The pdf of the samples of the amplitude of speech wave foem is found to
decay exponentially at rate , so the following pdf is proposed f(x) =
|x| Ce  , –  < X < . Find C, E(x)

2. Find the MGF of a binomial distribution and hence find the mean and
variance.

3. Find the recurrence relation of central moments for a binomial distribution.

4. The number of monthly breakdowns of a computer is a RV having a
poisson distribution with mean equal to 1.8. Find the probability that this
computer will function for a month (a) without a breakdown, (b) Wish only one
breakdown, (c)Wish at least one break down.

5. Find MGF and hence find mean and variance form of binomial distribution.

6. State and prove additive property of poisson random variable.

7. If X and Y are two independent poisson random variable, then show that
probability distribution of X given X+Y follows binomial distribution.

8. Find MGF and hence find mean and variance of a geometric distribution.

9. State and prove memory less property of a Geometric Distribution.

10. Find the mean and variance of a uniform distribution.

11. A box contains 5 red and 4 white balls. A ball from the box is taken our at
random and kept outside. If once again a ball is drawn from the box, what
is the probability that the drawn ball is red?

 Subject Name Probability and Random Processes Subject Code MA6451 Regulation 2013