We have two coins: C and C. While C is a fair coin, the second coin...
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We have two coins: C₁ and C₂. While C₁ is a fair coin, the second coin has two heads. In an experiment, we select C₁ with probability 3/4 and C₂ with probability 1/4. The selected coin is tossed n times and n heads are observed. (a) Compute the probability of having selected C2 given the outcome of the experiment. (b) What is the limit of that probability when n→∞ ? We have two coins: C₁ and C₂. While C₁ is a fair coin, the second coin has two heads. In an experiment, we select C₁ with probability 3/4 and C₂ with probability 1/4. The selected coin is tossed n times and n heads are observed. (a) Compute the probability of having selected C2 given the outcome of the experiment. (b) What is the limit of that probability when n→∞ ?
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Let A be an event that C coin is selected and U be an event that n heads are observ... View the full answer
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