1. Theoretical Exercise

Let X be such that

P(X=1) = p = 1-P(X=-1)

Find c does not equal 1 such that E(c^x)=1

2. Originally Posted by taylor1234
Let X be such that

P(X=1) = p = 1-P(X=-1)

Find c does not equal 1 such that E(c^x)=1
By definition, you need to solve $pc + (1 - p)C^{-1} = 1$ for c.

If you need more help, please show all your work and say where you get stuck.