In a region, a hiker may come across a rattlesnake. For a mountain area and a randomly
Question:
In a region, a hiker may come across a rattlesnake. For a mountain area and a randomly chosen day, the probability of this event is 0.02; for valleys, it is 0.01. Joan, when choosing one from these two areas, does it at random.
(a) What is the probability that Joan will see a rattlesnake on a randomly chosen day?
(b) Suppose that Joan has seen a rattlesnake. We are interested in the probability that it happened in the mountains. Explain why the answer 2/3 sounds very plausible. Provide rigorous calculations.
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a Let B be the event that Joan hikes in the first area B B and A be the event that Joan saw a ...View the full answer
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