A certain disease has a 10% chance of being transmitted from an infected person

What’s inside this PDF?

Question: 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)

Options:

2
5
10
15

Correct Answer: 5

Exam Year: 2023

Solution:

Expected transmissions = 10% of 50 = 0.1 * 50 = 5 transmissions.

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.

A certain disease has a 10% chance of being transmitted from an infected person

What’s inside this PDF?

A certain disease has a 10% chance of being transmitted from an infected person

Practice Questions

Questions & Step-by-Step Solutions

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