4. Consider a group of 200 people, 100 of whom at the moment support the Labour Party and 100 of whom support the Conservative Party. Assume that the probability that a Labour supporter changes to a Conservative supporter any month is 0.015, while the probability that a Conservative supporter changes to a Labour supporter is 0.01.

a Suppose we want to simulate how the number of Conservative and Labour Party supporters changes over time. Write R code that computes and stores the number of Labour and Conservative Party supporters each month for the next 10 years.

Hint: The outcome should be two vectors of length 121 with the following structure:

Labour = (No. of initial Labour supporters(= 100),

No. of Labour party supporters after 1 month,

No. of Labour party supporters after 2 months,

. . . , No. of Labour party supporters after 120 months)

and similarly for the Conservative Party.

(this is the data for Qb https://docs.google.com/document/d/13T5C6OQTPcIr0rOYK6tpU7PjwtpQeWPa9dEmdjXsWk4/edit?usp=sharing)

b Plot how the number of Conservative and Labour Party supporters changes over time.