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 |
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2) |
For
a univariate continuous r.v. X. Define i)
Probability density function ii) Median iii) Harmonic
mean iv) Cumulant
generating function |
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3) |
A
continuous r. v. X has following p.d.f. f(x) = C x (2-x) ; 0 < x < 2 =
0 ; otherwise Find i) constant C ii) mean iii)
variance iv) Mode |
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4) |
Define moment generating function (m.g.f.) and state their properties. |
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5) |
Define
distribution function and state their properties. |
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6) |
Find
mean and variance of uniform distribution. |
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7) |
If
X ~ U (a,b) then find its m.g.f. Statistics Paper - VI
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