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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
In the scenario of Exercise 9.3.1,
(a) What is the unconditional probability of having a sunny day?
(b) What is the mean number of rainy days in a month of 31 days?
(c) What is the mean recurrence time of sunny days?
Exercise 9.3.1
The following matrix is the single-step transition probability matrix of a discrete-time Markov chain which describes the weather. State 1 represents a sunny day, state 2 a cloudy day, and state 3 a rainy day.

(a) What is the probability of a sunny day being followed by two cloudy days?
(b) Given that today is rainy, what is the probability that the sun will shine the day after tomorrow?
(c) What is the mean length of a rainy period?
Hel-----------lo -----------Sir-----------/Ma-----------dam-----------Tha-----------nk -----------You----------- fo-----------r u-----------sin-----------g o-----------ur -----------web-----------sit-----------e a-----------nd -----------acq-----------uis-----------iti-----------on -----------of -----------my -----------pos-----------ted----------- so-----------lut-----------ion-----------.Pl-----------eas-----------e p-----------ing----------- me----------- on-----------cha-----------t I----------- am----------- on-----------lin-----------e o-----------r i-----------nbo-----------x m-----------e a----------- me-----------ssa-----------ge -----------I w-----------ill----------- be-----------