Download DBATU B.Tech 2019 Oct-Nov IT 3rd Sem Probability and Queuing Theory Question Paper

DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNIVERSITY, LONERE

Mid Semester Examination - Oct 2018

Course: B. Tech in Third Year IT

Sem: III

Subject Name: Probability & Queuing Theory

--- Content provided by⁠ FirstRanker.com ---

Subject Code: BTITC504

Max Marks: 20

Duration: 1 Hr.

Date: 21/09/19

Instructions to the Students:

--- Content provided by⁠ FirstRanker.com ---

1. All questions are compulsory
2. Assume suitable data whenever necessary

1. The expected value of a random variable is it's (Level/CO) Mark: 2x6 C01

   1. Mean
   2. Standard Deviation

   --- Content provided by FirstRanker.com ---

   3. Mean Deviation
   4. Variance

2. The mean of Poisson distribution is CO2

   1. np

   --- Content provided by⁠ FirstRanker.com ---

   2. npq
   3. n/p
   4. n²

3. If X is random variable, E(e^tX) is known as C01

   --- Content provided by​ FirstRanker.com ---

   1. Characteristic Function
   2. Moment Generating Function
   3. Probability function
   4. none of above

--- Content provided by​ FirstRanker.com ---

4. In a Binomial Distribution, the mean and variance are equal CO2

   1. True
   2. False

5. Which of the following mentioned standard Probability density functions is applicable to discrete Random Variables? CO2

   --- Content provided by‍ FirstRanker.com ---

   1. Gaussian Distribution
   2. Poisson Distribution
   3. Rayleigh Distribution
   4. Exponential Distribution

--- Content provided by​ FirstRanker.com ---

6. Normal Distribution is also known as CO2

   1. Cauchy's Distribution
   2. Laplacian Distribution
   3. Gaussian Distribution
   4. Lagrangian Distribution

   --- Content provided by‌ FirstRanker.com ---

Q.2 Solve Any Two of the following. 3X2

1. Ten unbiased coins are tossed simultaneously, the probability of obtaining CO2

   1. Exactly six heads
   2. not more than three heads
   3. No Heads.

   --- Content provided by FirstRanker.com ---

2. Explain Multiplication theorem of probability co

3. Define statistical and empirical-probability. State the Axioms of probability. COL

--- Content provided by​ FirstRanker.com ---

Q.3 Solve Any One of the following. 8x1

1. 1. State the conditions under which PD is used. Between the hours 2PM and 4 PM the average number of phone calls per minute coming into the switch board of a company is 2.35. Find the probability that during one particular minute there will be at most 2 phone calls Given e^-2.35=0.095374 CO2

   2. If 5% of the electric bulbs manufactured by a company are defective Use PD to find the probability that in a sample of 100 bulbs

      1. None is defective
      2. 5 bulbs will be defective. (Given e^-5=0.007)

      --- Content provided by‍ FirstRanker.com ---

2. Describe the terms C01,2

   1. Moment
   2. Binomial distribution

   --- Content provided by⁠ FirstRanker.com ---

   3. Normal distribution
   4. Random variable

*** End ***

For more resources, visit FirstRanker.com

--- Content provided by⁠ FirstRanker.com ---