Question: As a simplified model for weather forecasting suppose that the

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 later, satisfies
Pn = (2p − 1)Pn−1 + (1 − p) n ≥ 1
P0 = 1
Prove that
Pn = 1/2 + 1/2 (2p − 1)n n ≥ 0

View Solution:


Sale on SolutionInn
Sales0
Views515
Comments
  • CreatedOctober 22, 2015
  • Files Included
Post your question
5000