Please help with Part B

QUESTION NO. 4 (12 MARKS) PART (A) Penelope's Pizza Parlor (PPP) competes with two other pizza restaurants in a small town; Dirk's Delivers (DD) and Everything But Anchovies (EBA). The manager of PPP is interested in determining the structure for the pizza market and gathered information on the number of pizzas sold during June and July, as well as the pizza parlor frequented by each patron during June and July. Findings are presented below. Gains in Losses in Patrons at July from July to Patrons at Parlor end of June PPP DD EBA PPP DR. EBA end of July PPP 1000 0 0 20 1010 40 70 80 DD 800 80 0 350 40 O 24 1166 EBA 20 70 700 24 0 350 0 324 Construct the matrix of transition probabilities from the above data. PART (B) 52 The medical prognosis for a patient with a certain disease is to recover, to die, to exhibit symptom 1, or to exhibit symptom 2. The matrix of transition probabilities is recover die Si recover 1 0 0 0 die 0 1 0 o 1/4 1/4 1/3 1/4 1/8 1/8 1/2 1/6 S1 S2 What is the probability that a patient with symptom 2 will recover