A certain disease has a 10% chance of being transmitted from an infected person
Practice Questions
Q1
A certain disease has a 10% chance of being transmitted from an infected person to a healthy person. If there are 50 infected individuals, what is the expected number of transmissions if each interacts with one healthy person? (2023)
2
5
10
15
Questions & Step-by-Step Solutions
A certain disease has a 10% chance of being transmitted from an infected person to a healthy person. If there are 50 infected individuals, what is the expected number of transmissions if each interacts with one healthy person? (2023)
Step 1: Understand that there is a 10% chance of disease transmission from one infected person to one healthy person.
Step 2: Recognize that there are 50 infected individuals.
Step 3: Calculate the expected number of transmissions by multiplying the number of infected individuals (50) by the transmission chance (10%).
Step 4: Convert 10% to a decimal for calculation, which is 0.1.
Step 5: Multiply 0.1 (the chance of transmission) by 50 (the number of infected individuals).
Step 6: The calculation is 0.1 * 50 = 5.
Step 7: Conclude that the expected number of transmissions is 5.
Probability and Expectation – The question tests the understanding of calculating expected values based on probabilities, specifically how to apply a probability to a number of trials.
