1. (20 points)

(a) Describe the formula for Chbyshevinequality and calculate the boundary satisfying a=k (ex. 4.39).

(b) Choose one of the two coins randomly. The probability of choosing one coin is one-half. Coin A is P[heads]=1/2, and coin B is P[heads]=1/4. The coin was tossed twice, and the sequence of the front and back was observed. Use log2 to calculate the entropy of the result.

Express your answer in the simplest form possible.

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