Arrivals of the Number 1 bus form a Poisson process with rate one bus per hour, and arrivals of Number 7 bus form an independent Poisson process of rate seven buses per hour(a) What is the probability that exactly three buses pass by in one hour?(b) What is the probability that exactly three Number 7 buses pass by while I am waitingfor a Number 1 bus(c) When the maintenance depot half the buses break down before they reach my stop. What , then is the that i wait for without seeing a single bus?

Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)