Categories

# MA8451 Important Questions Probability and Random Processes Regulation 2017 Anna University

## MA8451 Important Questions Probability and Random Processes

MA8451 Important Questions Probability and Random Processes Regulation 2017 Anna University free download. Probability and Random Processes Important Questions MA8451 pdf free download. Short Name PRP

### Sample MA8451 Important Questions Probability and Random Processes

If the probability density function of a random variable X is f(x) = ¼ in – 2 < x < 2 find P(|𝑥| > 1)

If X is a geometric variate, taking values 1,2,3…..∞, 𝑓𝑖𝑛𝑑 𝑃(𝑋 𝑖𝑠 𝑜𝑑𝑑)

State the memory less property of the exponential distribution. MA8451 Important Questions Probability and Random Processes

The mean and variance of binomial distribution are 5 and 4 Find the
distribution of X.

The mean of Binomial distribution is 20 and standard deviation is 4. Find the parameters of the distribution.

If the events A and B are independent then show that 𝐴̅ and 𝐵 ̅ are
independent.

Find the Moment generating function of a continuous random variable  MA8451 Important Questions Probability and Random Processes

If 3% of the electric bulbs manufactured by a company are defective,

Find the probability that in a sample of 100 bulbs exactly 5 bulbs are defective.

If a random variable X has the MGF 𝑀𝑋(t) . Find the standard
deviation of X.

Show that the function 𝑓(𝑥) = {𝑒−𝑥 , 𝑥 ≥ 0 0, 𝑥 < 0 is a probability density function of a continuous random variable X.

Show that the moment generating function of the uniform distribution 𝑓(𝑥) = 1

If the MGF of a uniform distribution for a RV X is 1𝑡
(𝑒5𝑡 − 𝑒4𝑡). Find E(X).  MA8451 Important Questions Probability and Random Processes

A is known to hit the target in 2 out of 5 shots whereas B is known to hit the target in 3 of 4 shots. Find the probability of the target being hit when they both try?

If the probability that a communication system has high selectivity is 0.54 and the probability that it will have fidelity is 0.81 and the probability that it will have both is 0.18. Find the probability that a system with high fidelity will have high selectivity.

 Subject name Probability and Random Processes Semester 4 Subject Code MA8451 Regulation 2017 regulation