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(Steps Shown) Tim brings a chocolate bar of unit length for his daughters Simi and Mimi. Simi takes a piece of length S from it, where S has density f_S(s)=6

Question: Tim brings a chocolate bar of unit length for his daughters Simi and Mimi. Simi takes a piece of length \(S\) from it, where \(S\) has density

\[f_{S}(s)=6 s(1-s), 0 and gives the rest to Mimi. Mimi divides the remaining part randomly (using a uniform PDF) into two parts and keeps the larger one of length \(M\) for herself, and returns the other piece of length \(T\) to Tim.

  1. Find the conditional PDF of \(M\) given \(S=s\).
  2. Find the expected length of chocolate bar for each of the three.

Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document


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