PSQT - Cycle Test 2

Cycle Test 2
PSQT

PART - A
1. Define Poisson Distribution
2. If X is a Binomial Variable with expected value 6 and variance 2.4, find P(X=5)
3. If X and Y are independent Poission variate s.t P(X=1)=P(X=2) and P(Y=2)=P(Y=3). Find Variance of X-2Y
4. If X is a Geometeric variate taking values 1,2,...., find P(X is odd)
5. Derieve the mean and variance of Negative Binomail Distribution
6. Tabulate teh Expectations for both Discrete nad Continuous Random Variable
7. Define CoVariance. If X and Y are independent RVs, PT E(XY)=E(X).E(Y)
8. What is Gamma Distrinution? Generate its Formula.
9. Show that for a uniform distrbution in (a,b) then f(x)={1/b-a,a<x<b}
10. Find the mean and variance fo the continuous random variable 'X', if it has the density function f(x={2(x-1),1<x<2}

PART - B
11. Determine the Moment generating function of Binomial and Poisson distribution in discrete distribution
12. A random variable Y is defined as Cos(PI x), where X is a uniform PDF over (-1/2,1/2). Find mean and SD
13. Generate the MGF, Mean and Variance of Exponential Distribution Distribution. Give one example for each.
14. Give the PDF of a cantinuous Random Variable 'X' as follows f(x)=6x(1-x), 0<x<1. Find the CDF for 'X'

Tags : cycle test, cycle test 1, 2012, probability statistics and queuing theory, sem 4

PSQT - Cycle Test 1

Cycle Test - 1
PSQT

PART - A
1. Define Sample space and Event. Give one exmaple for each.
2. Define Probability. How to find the probability of an event.
3. Find the probability of throwing 7 with two dice.
4. List out the Axioms involved in Probability
5. Compare Dependent and Independent Events with suitable Example.
6. What is a formula to find the conditional probability and Theorem of total probability.
7. If A is the subset fo B, then P(A/B)>P(A)
8. What is a random variable and mention their types
9. State the addition law of probability
10. If from a pack of cards of a single card is drawn what is the probability that is either a spade or a king

PART - B
11. State and prove Baye's Theorem. Give your own experiment to perform the Baye's rule
12. If two dice are thrown, what is the probability that the sum is (i)greater than 8,(ii)neither 7 or 11
13. A bag contains 5 white and 3 black balls. Two balls are drawn at the random one after the other wthout replacemnet. Find the probability that both balls are drawn black.
14. State and Prove Conditional Probability with Example

Tags : cycle test, cycle test 1, 2012, probablility statistics and queuing theory, sem 4

OOAD - Cycle test 1

Cycle Test - 1
OOAD

PART - A
1. What are the two orthoganal views of software?
2. How is software verification differ from validation?
3. What is association? Give one example.
4. What is prototyping? Mention its types.
5. What is RAD?

PART - B
6. Explain about encapsulation and information hiding
7. How to build a high-quality software?
8. Expalin about waterfall approach
9. Define: i) Static and Dynamic Binding ii) Object persistence iii) Meta-classes

PART - C
10. Decribe the software developement process
11. Discuss the significance of object orientation and justify the need to shift to this paradigm

Tags : cycle test, cycle test 1, 2012, ooad, Object Oriented Analyasi and Design, sem 4