1. (20 Points) A coin is flipped until the first head occurs. Let X denote the number of flips required. a) (10 Points)
Posted: Thu Feb 17, 2022 11:01 am
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.