**MA8451 PRP Question Papers**

Anna University Regulation 2017 ECE **MA8451 **PRP** Question Papers for previous years** are provided below. **Previous Year Question Papers for **ECE **4th SEM MA8451 Probability and Random Processes, Engineering** are listed down for students to make perfect utilization and score maximum marks with our study materials.

### Anna University Regulation 2017 (ECE) 4th SEM MA8451 PRP – Probability and Random Processes question paper

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

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

3. State the memory less property of the exponential distribution.

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

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

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

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

8. 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.

9.Give the MGF of Binomial distribution and hence find its mean and variance.

10.A bolt is manufactured by 3 machines A, B, and C. A turns out twice as many items as B and machines B and C produce equal number of items. 2% of bolts produced by A and B are defective and 4% of bolts produced by C are defective. All bolts are put into 1 stock pile and 1 is chosen from this pile.

11.What is the probability that it is defective?

12.Find the moment generating function of a geometric random variable. Also find its mean..

13.The probability distribution of an infinite discrete distribution is given by P[ X = j ] = 2𝑗 ( j = 1,2,3…) Find (1)Mean of X, (2)P [X is even],(3) P(X is odd)

14.Find the MGF of Poisson distribution and hence find its mean and variance.

15.An urn contains 10 white and 3 black balls. Another urn contains 3 white and 5 black balls. Two balls are drawn at random from the first urn and placed in the second urn and then 1 ball is taken at random from the latter. What is the probability that it is a white ball? Find the MGF of Uniform distribution and hence find its mean and variance.

16.The probability of a man hitting a target is 1.4. If he fires 7 times, what is the probability of his hitting the target at least twice? And how many times must he fire so that the probability of his hitting the target at least once is greater than 2/3?

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MA8451 Question Papers with answers, PRP previous year question bank – ECE 4th Semester