# Question: The weather can be considered a stochastic system because it

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.

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.

## Answer to relevant Questions

Apply the inverse transformation method as indicated next to generate three random observations from the uniform distribution between –10 and 40 by using the following uniform random numbers: 0.0965, 0.5692, 0.6658. (a) ...Obtaining uniform random numbers as instructed at the beginning of the Problems section, use the inverse transformation method and the table of the normal distribution given in Appendix 5 (with linear interpolation between ...The results from a simulation run are inherently random. This problem will demonstrate this fact and investigate the impact of the number of trials on this randomness. Consider the example involving Freddie the newsboy that ...Road Pavers, Inc. (RPI) is considering bidding on a county road construction project. RPI has estimated that the cost of this particular project would be $5 million. In addition, the cost of putting together a bid is ...Use the mixed congruential method to generate a sequence of five two-digit random integer numbers such that xn + 1 ≡ (41xn + 33) (modulo 100) and x0 = 48.Post your question