A certain disease has a recovery rate of 90%. If 50 patients are treated, how ma

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Question: A certain disease has a recovery rate of 90%. If 50 patients are treated, how many are expected to recover? (2023)

Options:

Correct Answer: 45

Exam Year: 2023

Solution:

Expected recoveries = Recovery rate × Total patients = 0.9 × 50 = 45.

A certain disease has a recovery rate of 90%. If 50 patients are treated, how many are expected to recover? (2023)

A certain disease has a recovery rate of 90%. If 50 patients are treated, how many are expected to recover? (2023)

Step 1: Understand the recovery rate. The recovery rate is 90%, which means that 90 out of every 100 patients are expected to recover.
Step 2: Convert the recovery rate from a percentage to a decimal. 90% as a decimal is 0.9.
Step 3: Identify the total number of patients being treated. In this case, there are 50 patients.
Step 4: Calculate the expected number of recoveries by multiplying the recovery rate (0.9) by the total number of patients (50).
Step 5: Perform the multiplication: 0.9 × 50 = 45.
Step 6: Conclude that out of 50 patients, we expect 45 to recover.

Probability and Statistics – Understanding recovery rates as probabilities and applying them to a total number of patients.
Basic Arithmetic – Performing multiplication to calculate expected outcomes based on given rates.