The premise of the experiment is:

In a groups of 10 people

An initial person has a virus on the first day and infects someone else on the second day.

On any given day, each person who has the virus on that day infects someone the next day.

The process is repeated daily until all the people in the group have the virus.

The total number of people who have the virus is noted each day and recorded. On any given day some people who already have the virus might come into contact with the virus again. These people will not be counted twice.

Start by randomly selecting a person to be the initial person.

On each day, anyone who has the virus already selects another person at random to infect.

If the first person selects their own number on the first day, there would be only one person who is infected on day two.

The selected students on each day may or may not have already been selected. If a student who had already been infected was selected again, that person was not counted again.

Continue the simulation until the entire group has the infection.

Collect data showing the total number of people who have the virus each day, represent your results into table, graph and formule.

Questions:

So, how long before everyone has the virus?

Investigate the way a virus spreads through a group of people and the length of time it takes for an entire group to be infected.

Investigate the factor that affect the spread of the virus. Do they always spread at the same rate? Do they always take the same amount of time to spread to everyone?

Could you outline the strategy and show the use of equations?

Show with the use of application of differentiation

Show with the use of a calculator:

1. random number generator on the calculator
2. regression on the calculator, which will produce suitable functions.

What are the assumptions that need to be included?

Discuss the reasonableness and limitations of the results.