Part 1: To determine how many people had HIV in January 2012, we can use the formula:

Number of people with HIV = HIV prevalence rate x Total population

Substituting the given values, we get:

Number of people with HIV = 2.2% x 20,000 Number of people with HIV = 0.022 x 20,000 Number of people with HIV = 440

Therefore, there were 440 people with HIV in January 2012.

Part 2: To calculate the incidence rate assuming no HIV-related deaths over the 12-month period, we can use the formula:

Incidence rate = Number of new cases of HIV / Population at risk x Time period

Since the population stayed constant at 20,000 and there were no HIV-related deaths reported, the population at risk remains the same for the entire 12-month period. Substituting the given values, we get:

Incidence rate = 50 / 20,000 x 12 months Incidence rate = 50 / 240,000 Incidence rate = 0.0002083

Therefore, the incidence rate of HIV in Community X over the 12-month period was 0.0002083 or 0.02083% per year.