There are 30 student in the class has remained fully-free, but one of the classmates came in today with the flue and more student may get infected at any moment! Suppose that eachday (including day 0) each healthy student independently picks a person in the classuniformly at random (possibly themselves) and, if the person they pick is infected thenthey become an infected person the next day. How will the flu spread through the classin the coming days?

Think about what a graph of the number of infected students (Y) over time (t : # ofdays from today) might look like. Sketch a curve and explain your graph.

Suppose that the size of the class is 30 and at that at timet=0 there are 10 infectedstudents. How would you describe the number of infected students at timet=1?

How would you describe the number of infected students at time t=1 size of the class is N and at that at time t=0 there are A infected students?