Expected Value of a RV

  • #1

Homework Statement



Suppose that X takes on one of the values 0, 1, and 2. If for some constant c, P{X = i} = cP{X = i - 1}, i = 1, 2. Find E [X]


Homework Equations





The Attempt at a Solution



I'm not sure how to start this. A push in the right direction would be awesome.

Thanks!
 

Answers and Replies

  • #2
LCKurtz
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Homework Statement



Suppose that X takes on one of the values 0, 1, and 2. If for some constant c, P{X = i} = cP{X = i - 1}, i = 1, 2. Find E [X]


Homework Equations





The Attempt at a Solution



I'm not sure how to start this. A push in the right direction would be awesome.

Thanks!

I will call ##P(X=i) = p_i## to save typing. You can get ##p_2## and ##p_3## in terms of ##c## and ##p_0##. You know the ##p_i## add to 1. That will give you an equation with ##c## and ##p_0##. Crank out the formula for ##E(X)## and you should be able to get an answer that depends on ##c##.
 

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