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Math Help - discrete probability density function!

  1. #1
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    Smile discrete probability density function!

    need help with discrete probability density function!

    Find the value of a such that f(x)=a2^-x may be used as a discrete probability density function for X is equal or greater than 0

    what i did was i thought since its density function so
    it should be 1=a2^-x
    really dont know how to do the rest!!
    please helP!
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  2. #2
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    Solve \sum\limits_{n = 0}^\infty  {\frac{a}{{2^n }}}  = 1 for a.
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