A sociological study was made to examine the process by which doctors decide to adopt a new drug. Certain doctors who had little interaction with other physicians were called isolated. Out of 100 isolated doctors, the number who adopted the new drug at the end of each month was 8% of those who had not yet adopted the drug at the beginning of the month.
(a) Find a difference equation for yn, the number of isolated physicians adopting the drug after n months.
(b) Solve the difference equation from part (a).
(c) Use the solution from part (b) to calculate the number of isolated doctors who had adopted the drug after 11 months?