The weather can be considered a stochastic system, because it evolves in a probabilistic manner from one day to the next. Suppose for a certain location that this probabilistic evolution satisfies the following description:
The probability of rain tomorrow is 0.6 if it is raining today. The probability of its being clear (no rain) tomorrow is 0.8 if it is clear today.
(a) Use the uniform random numbers in cells C17:C26 of Fig. 20.1 to simulate the evolution of the weather for 10 days, beginning the day after a clear day.
(b) Now use a computer with the uniform random numbers generated by Excel to perform the simulation requested in part (a) on a spreadsheet.