A certain disease affects 1 in every 200 people. If a random sample of 1000 peop
Practice Questions
Q1
A certain disease affects 1 in every 200 people. If a random sample of 1000 people is taken, how many are expected to be affected? (2019)
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Questions & Step-by-Step Solutions
A certain disease affects 1 in every 200 people. If a random sample of 1000 people is taken, how many are expected to be affected? (2019)
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.
Probability and Expectation – Understanding how to calculate expected values based on probabilities.
