Question: Suppose we know that the probability that it will rain on any given day is p and is independent of the weather on all other

Suppose we know that the probability that it will rain on any given day is p and is independent of the weather on all other days. As a meteorologist, what should your pattern of weather predictions be from day to day to minimize your probability of error, and what is the resulting error rate? Suppose as your prediction for tomorrow’s weather you use the weather you observe today.

What is the error rate for this prediction rule?

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