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?

First, given graph is very inaccurate. I suppose that you made net with pen.

a) The slope is the angle ( tan∡) between your graph and x axis.

The slope represent the level of the earnings growth.

b) According to the given graph y-intercept= 30$

Y-intercept represent starting amount of money.

c) If we accept that y=70 is connected with x=2 and y=30 with x=0

The  slope is S= (70-30)/2= 40/2=20

Linear equation for this function is

y= 20x+30

d) When we replace y=300$ in the equation we get

20x+30=300 => 20x=300-30 => 20x=270 => x=270/20=13.5h

x=13.5h

Good luck!!!