In the year 2003, the population of a certain district was 1.8 million. Thirty percent of the population was in the age group 15-40 years. In the same year, 120,000 people in the district the Voluntary Counseling and Testing (VCT) contra for an HIV test. If a person was selected at random from the district in this year. Find the probability that the person visited a VCT centre and was in the age group 15- 60 years.
To find the probability that a person visited a VCT center and was in the age group 15-40 years, we need to calculate the individual probabilities and then multiply them together.
First, let's find the proportion of the population that was in the age group 15-40 years. We know that 30% of the population was in this age group, so we can calculate it as follows:
Number of people in the age group 15-40 years = 30% of 1.8 million
= 0.30 * 1.8 million
= 0.54 million or 540,000 people
Next, let's find the probability that a person visited a VCT center. We know that 120,000 people in the district visited a VCT center, but we need to know the total population size in order to calculate the probability. However, the question does not provide the total population size for the district in 2003. Without this information, we cannot calculate the probability accurately.
To find the probability that the person visited a VCT center and was in the age group 15-60 years, we would need to know the proportion of the population in the 15-60 age group and the number of people in that group who visited a VCT center. Again, without this information, we cannot calculate the probability accurately.
Therefore, without more data, we cannot determine the probability you're asking for.