A certain disease has a mortality rate of 10%. If 500 people are infected, how m

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Question: A certain disease has a mortality rate of 10%. If 500 people are infected, how many are expected to survive? (2019)

Options:

Correct Answer: 450

Exam Year: 2019

Solution:

Expected survivors = Total infected - (Mortality rate × Total infected) = 500 - (0.10 × 500) = 500 - 50 = 450.

A certain disease has a mortality rate of 10%. If 500 people are infected, how many are expected to survive? (2019)

A certain disease has a mortality rate of 10%. If 500 people are infected, how many are expected to survive? (2019)

Step 1: Understand the mortality rate. A mortality rate of 10% means that 10 out of every 100 people will not survive.
Step 2: Identify the total number of infected people. In this case, there are 500 people infected.
Step 3: Calculate the number of people expected to not survive. To do this, multiply the total infected (500) by the mortality rate (0.10). So, 500 × 0.10 = 50.
Step 4: Calculate the number of expected survivors. Subtract the number of people expected to not survive (50) from the total infected (500). So, 500 - 50 = 450.
Step 5: Conclude that out of 500 infected people, 450 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.