Using the January 1987 precipitation data for Canandaigua in Table A.1, a. Fit a two-state, first-order Markov chain to represent daily precipitation occurrence. b. Test whether this Markov model...

Using the January 1987 precipitation data for Canandaigua in Table A.1,

a. Fit a two-state, first-order Markov chain to represent daily precipitation occurrence.

b. Test whether this Markov model provides a significantly better representation of the data than does the assumption of independence.

c. Compare the theoretical stationary probability, p1 with the empirical relative frequency.

d. Graph the theoretical autocorrelation function for the first three lags.

e. Compute the probability according to the Markov model that a sequence of consecutive wet

 days will last at least three days.