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

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Subject Code: BTITC504

Max Marks: 20

Duration: 1 Hr.

Date: 21/09/19

Instructions to the Students:

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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

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   3. Mean Deviation
   4. Variance

2. The mean of Poisson distribution is CO2

   1. np

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   2. npq
   3. n/p
   4. n²

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

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

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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

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

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6. Normal Distribution is also known as CO2

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

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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.

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2. Explain Multiplication theorem of probability co

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

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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)

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2. Describe the terms C01,2

   1. Moment
   2. Binomial distribution

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   3. Normal distribution
   4. Random variable

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