Rocky Guide Service provides guided $1$ to $5$ day hiking tours throughout the Rocky Mountains. Wilderness Tours hires Rocky to lead various tours that Wilderness sells. Rocky receives $ $1,000$ per tour day, and shortly after the end of each month, Rocky learns whether it will receive a $ $100$ bonus per tour day it guided during the previous month if its service during that month received an average evaluation of "excellent" by Wilderness customers. The $ $1,000$ per day and any bonus due are paid in one lump payment shortly after the end of each month. $-$ On July $1,$ based on prior experience, Rocky estimated there is a $30$