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[Solution Library] Rachel tosses an unfair coin twice. The probability of a head is 1 / 3 and the probability of a tail is 2 / 3. Let \underlineX denote the

Question: Rachel tosses an unfair coin twice. The probability of a head is \(1 / 3\) and the probability of a tail is \(2 / 3\). Let \(\underline{X}\) denote the number of heads.

  1. Find the pdf of \(X\).
  2. Find \(\operatorname{Var}(X)\)
  3. Find the cdf of \(X\).
  4. Find \(E(2 X-1)\) and \(\operatorname{Var}(2 X-1)\).

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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document


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