MA8402 PQT Important Questions

Anna University Regulation 2017 CSE MA8402 PQT Important Questions with Answer Key and CSE 4th Sem MA8402 PROBABILITY AND QUEUEING THEORY Engineering Answer Key is listed down for students to make perfect utilization and score maximum marks with our study materials.

MA8402 –PROBABILITY AND QUEUEING THEORY

1. List the limitations of Poisson distribution.
2. Write the MGF of Geometric distribution
3. If 𝑓(𝑥) = { 𝑘𝑒−𝑥, 𝑥 > 0 0, 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒 is the pdf of a random variable X, then find the value of  k.
4. Prove that the function p(x) is a legitimate probability mass function of a discrete random variable X,where 𝑝(𝑥) =
𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒
5. The mean of Binomial distribution is 20 and standard deviation is 4. Identify the parameters of the distribution.

6. Test whether 𝑓(𝑥) = {|𝑥|, −1 ≤ 𝑥 ≤ 10, 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒 can be a probability density function of a continuous random variable.
7. If a random variable X takes values 1,2,3,4 such that 2𝑃(𝑋 = 1) = 3𝑃(𝑋 = 2) = 𝑃(𝑋 = 3) = 5𝑃(𝑋 = 4). Give the probability distribution of X.
8. Estimate the Moment generating function of a continuous random variable X whose pdf is f(x) ={ 𝑥𝑒−𝑥22 𝑥 > 0 0, 𝑥 < 0
9. Balls are tossed at random into 50 boxes.Find the expected number of tosses requied to get the first ball in the fourth box.
10. If a random variable X has the MGF 𝑀𝑋(t) = 22−𝑡. Examine the standard deviation of X

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MA8402 PQT Important Questions

Anna University 4th Sem CSE PQT Important Questions