Department of Statistics
Home Assignment B.Sc.II
Statistics Paper  V
1) 
For
a univariate continuous r.v. X. Define i) Mean ii) Mode iii) First
Quartile iv) Moment
generating function 

2) 
For
a univariate continuous r.v. X. Define i)
Probability density function ii) Median iii) Harmonic
mean iv) Cumulant
generating function 

3) 
A
continuous r. v. X has following p.d.f. f(x) = C x (2x) ; 0 < x < 2 =
0 ; otherwise Find i) constant C ii) mean iii)
variance iv) Mode 

4) 
Define moment generating function (m.g.f.) and state their properties. 

5) 
Define
distribution function and state their properties. 

6) 
Find
mean and variance of uniform distribution. 

7) 
If
X ~ U (a,b) then find its m.g.f. Statistics Paper  VI
