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Mathematics, 28.10.2020 16:50 baseball1525
As a simplified model for weather forecasting, suppose that the weather (either wet or dry) tomorrow will be the same as the weather today with probability p. Show that the weather is dry on January 1, then
Pn
, the probability that it will be dry n days layer, satisfies
Pn=(2p−1)Pn−1+(1−p)n≥1
P0=1
Prove that
Pn=1/2+1/2(2p−1)nn≥0
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As a simplified model for weather forecasting, suppose that the weather (either wet or dry) tomorrow...
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