Step 1: Understand that the disease affects 1 out of every 200 people.
Step 2: Convert the fraction 1/200 into a decimal or a percentage if needed, but here we will use it as is.
Step 3: Determine the size of the random sample, which is 1000 people.
Step 4: To find out how many people are expected to be affected, multiply the fraction of people affected (1/200) by the total number of people in the sample (1000).
Step 5: Perform the calculation: (1/200) × 1000 = 5.
Step 6: Conclude that in a sample of 1000 people, we expect 5 people to be affected by the disease.