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Suppose X has density fx (x) = for z > 1 and fx (T) = 0 otherwise, where c is a constant. Find: a) c; b) E(X); c) Var(X).

Suppose X has density fx (x) = for z > 1 and fx (T) = 0 otherwise, where c is a constant. Find: a) c; b) E(X); c) Var(X).

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose \( X \) has density \( f_X(x) = \frac{c}{x^3} \) for \( x > 1 \) and \( f_X(x) = 0 \) otherwise, where \( c \) is a constant. Find: a) \( c \); b) \( E(X) \); c) \( Var(X) \).
Transcribed Image Text:Suppose \( X \) has density \( f_X(x) = \frac{c}{x^3} \) for \( x > 1 \) and \( f_X(x) = 0 \) otherwise, where \( c \) is a constant. Find: a) \( c \); b) \( E(X) \); c) \( Var(X) \).
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