Probability (ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern)): Questions 20 - 26 of 72

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Question number: 20

» Probability » Standard Probability Distributions » Geometric

Appeared in Year: 2010

Essay Question▾

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Let X have a geometric distribution, then for an two non-negative integers m and n,

Prove it

Explanation

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Question number: 21

» Probability » Standard Probability Distributions » Cauchy

Appeared in Year: 2011

Essay Question▾

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Obtain the median and the quartiles of the Cauchy distribution with p. d. f.

Explanation

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Question number: 22

» Probability » Characteristic Function

Appeared in Year: 2015

Essay Question▾

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Obtain the characteristic function of X whose pdf is

Explanation

… (140 more words) …

Question number: 23

» Probability » Expectation

Appeared in Year: 2013

Essay Question▾

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Let X be a continuous random variable and have F (x) as the distribution function. If E [X] exists, then show that:

Explanation

… (45 more words) …

Question number: 24

» Probability » Expectation

Appeared in Year: 2012

Essay Question▾

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Let X 1, X 2, ···, X n be random variables such that

Also

Find

Explanation

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Question number: 25

» Probability » Standard Probability Distributions » Normal

Appeared in Year: 2011

Essay Question▾

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Let X 1, X 2, …, X n be independent N (0, σ 2) random variables. Obtain the mean and variance of . What is its probability distribution?

Explanation

… (52 more words) …

Question number: 26

» Probability » Characteristic Function

Appeared in Year: 2013

Essay Question▾

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Find the density function of X whose characteristic function Φ (t) is given by:

Explanation

… (30 more words) …

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