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Math Help - Mathematical Expectation

  1. #1
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    Mathematical Expectation

    Mathematical Expectation-misc.png

    I have the above conditions, the book wants me to find the value of c such that E(c^X)=1.

    So I tried c^X*p+(1-p)c^X=1, which becomes,

    c*p+(1-p)/c=1. From there I got the equation c^2p-c-p=-1. But I'm stuck, and I think may have went off track somewhere.
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  2. #2
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    Re: Mathematical Expectation

    Quote Originally Posted by Hal2001 View Post
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    I have the above conditions, the book wants me to find the value of c such that E(c^X)=1.
    So I tried c^X*p+(1-p)c^X=1, which becomes,
    c*p+(1-p)/c=1. From there I got the equation c^2p-c-p=-1. But I'm stuck, and I think may have went off track somewhere.
    No, you are correct. Just solve that quadratic equation for c.
    Can you solve px^2-x+1-p=0
    Thanks from Hal2001
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  3. #3
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    Re: Mathematical Expectation

    Oh silly me, I didn't think of considering 1-p and setting it equal to zero. Thanks.
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