1. (20 Points) A coin is flipped until the first head occurs. Let X denote the number of flips required. a) (10 Points)

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1 20 Points A Coin Is Flipped Until The First Head Occurs Let X Denote The Number Of Flips Required A 10 Points 1 (27.88 KiB) Viewed 62 times

1. (20 Points) A coin is flipped until the first head occurs. Let X denote the number of flips required. a) (10 Points) Find the entropy H(X) in bits if the coin is fair, i.e. P(heads) = 0.5. The following expressions may be useful: 00 Σ" -r n=0 00 r Ση - (1-2 nrn (1-r) n=0 b) (10 Points) Find the entropy H(X) in bits if P(heads) = 0.9.