sri a s n m government college palakol bsc degree 4th sem statistics minor 4 mathematical expectations and probability distributions 2025 question paper

Sri A.S.N.M Government College Palakol BSC degree 4th sem statistics minor 4 mathematical expectations and probability distributions 2025 question paper

Uploaded at Sun 15/06/2025

Sri A.S.N.M Government College Palakol BSC degree 4th sem statistics minor 4 mathematical expectations and probability distributions 2025 question paper affiliated by adikavi nannaya university

Sri A.S.N.M Government College (A),Palakol

(Affiliated to Adikavi Nannaya University, Rajahmundry)

(Re-accredited at B+ Grade by NAAC with 2.67 CGPA)

II Year B.SC honours IV Semester (Regular) Examinations April-2025

(W.E.F 2023-2024 Admitted batch)

STATISTICS MINOR-4: MATHEMATICAL EXPECTATIONS & PROBABILITY DISTRIBUTIONS

Paper Code: STAT044

Date: 19-04-2025

Duration: 3 Hrs

Time: 2PM TO 5PM

Max.Marks: 60 M

PART-I

5X4=20M

Answer any FIVE questions, each question carries FOUR marks

1) Define Discrete and continuous random variables.

2) Define the random variable and its types.

Write the properties of Mathematical expectation.

State and prove Cauchy Schwartz inequality.

5) Explain the Poisson distribution.

6) Define the Geometric distribution.

A) Explain the PMF and PDF

Define the (i) Population (ii) Sample (ii) Parameter (iv) Statistic.

9) Define the F-distribution.

10) Calculation of mean and variance using M.G.F.

PART-II

5X8=40M

Answer any FIVE questions, each question carries 8 marks

11) Explain the Binomial distribution and its properties.

12) State and prove Chebychev's inequality.

13) Define distribution function. State and prove the properties of distribution function.

14) State and prove Addition theorem of expectation for n events.

15) Find the A random variable X has the following probability function.

x	-2	-1	0	1	2	3
p(x)	0.1	k	0.2	2k	0.3	k

Find (i) K (ii) mean and variance (iii) construct distribution function

16) State and prove Multiplication theorem of expectation for n events.

17) Define Normal distribution and its properties.

18) DEFINE THE N.B.D and its mean and variance.

19) Define t-distribution and its applications.

20) Define Chi-square distribution and its properties.

Sri A.S.N.M Government College Palakol BSC degree 4th sem statistics minor 4 mathematical expectations and probability distributions 2025 question paper