Toss a fair coin three times. Let X denote the number of heads in fi.pdf
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The document discusses tossing a fair coin three times, defining x as the number of heads in the first two tosses and y as in the last two tosses. It lists all possible outcomes and calculates the expected values e(x) and e(y), both equal to 0.25.
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Toss a fair coin three times. Let X denote the number of heads in fi.pdf
- 1. Toss a fair coin three times. Let X denote the number of heads in first two tosses and Y denote the number of heads in last two tosses. Calculate E(X), E(Y). Solution Tossing a fair coin three times is then the outcomes are {(H,H,H),(H,H,T),(H,T,H),(H,T,T),(T,H,T),(T,H,H,),(T,T,H),(T,T,T)}. Here X denote the number of heads in first two tosses are 2 and Y denote the number of heads in last two tosses are 2. E(X)=2/8=.25, E(Y)=2/8=.25.