A certain disease has a mortality rate of 5%. If 200 people are infected, how ma

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Question: A certain disease has a mortality rate of 5%. If 200 people are infected, how many are expected to survive? (2019)

Options:

Correct Answer: 195

Exam Year: 2019

Solution:

Expected survivors = Total infected - (Mortality rate × Total infected) = 200 - (0.05 × 200) = 200 - 10 = 190.

A certain disease has a mortality rate of 5%. If 200 people are infected, how many are expected to survive? (2019)

A certain disease has a mortality rate of 5%. If 200 people are infected, how many are expected to survive? (2019)

Step 1: Understand the mortality rate. A mortality rate of 5% means that 5 out of every 100 people will not survive.
Step 2: Convert the percentage to a decimal. 5% as a decimal is 0.05 (you do this by dividing 5 by 100).
Step 3: Find out how many people are infected. In this case, there are 200 people infected.
Step 4: Calculate how many people are expected to not survive. Multiply the mortality rate (0.05) by the total number of infected people (200). This gives you 0.05 × 200 = 10.
Step 5: Subtract the number of people expected to not survive from the total number of infected people. So, 200 - 10 = 190.
Step 6: The final answer is that 190 people are expected to survive.

Mortality Rate – The percentage of individuals who die from a disease out of the total infected.
Survival Calculation – Determining the number of survivors by subtracting the expected deaths from the total infected.
Basic Arithmetic – Applying multiplication and subtraction to solve the problem.