0
$\begingroup$


I have a probability space $\omega = 2^{\{1,\ldots,n\}}$ $\sigma$-algebra $2^\omega$ and $P(\{s\})=(p^{|s|})*(1-p)^{(n-|s|)}$

I assume that $n=2k$,$k$ natural number

I need to find a random variable that will distribute like $\mathrm{Bin}(k,p^2)$

Can you help me with this please?

Thanks.
benny

1 Answers 1

1

Hint: $2 = n/k$.

Another hint: $p^2$ has the same exponent $2$ as $n/k$.

  • 0
    can't figure out how that helps2010-11-20
  • 0
    added another hint. of course, you can't expect us to solve the exercise for you.2010-11-20