Let N follow a geometric distribution with probability p. After the success of the experiment we define X, a uniform distribution from 1 to N. Both distributions are discrete. Find E[X|N].

Max Macias

Max Macias

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2022-08-16

Conditional expectation of a uniform distribution given a geometric distribution
Let N follow a geometric distribution with probability p. After the success of the experiment we define X, a uniform distribution from 1 to N. Both distributions are discrete. Find E[X|N].

Answer & Explanation

Riya Cline

Riya Cline

Beginner2022-08-17Added 17 answers

Step 1
Guide:
Find E [ X N = n ].
Step 2
This is an expression in n and if we set f ( n ) = E [ X N = n ] then E [ X N ] = f ( N )

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