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In a study, 60% of patients with a certain disease reported fatigue. If 50 patie

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Question: In a study, 60% of patients with a certain disease reported fatigue. If 50 patients were surveyed, how many would you expect to report fatigue? (2022)

Options:

  1. 20
  2. 30
  3. 40
  4. 50

Correct Answer: 40

Exam Year: 2022

Solution: 

Expected number of patients reporting fatigue = 50 × 0.6 = 30.

In a study, 60% of patients with a certain disease reported fatigue. If 50 patie

Practice Questions

Q1
In a study, 60% of patients with a certain disease reported fatigue. If 50 patients were surveyed, how many would you expect to report fatigue? (2022)
  1. 20
  2. 30
  3. 40
  4. 50

Questions & Step-by-Step Solutions

In a study, 60% of patients with a certain disease reported fatigue. If 50 patients were surveyed, how many would you expect to report fatigue? (2022)
  • Step 1: Understand that 60% means 60 out of every 100 patients.
  • Step 2: Convert the percentage to a decimal. 60% as a decimal is 0.6.
  • Step 3: Identify the total number of patients surveyed, which is 50.
  • Step 4: Multiply the total number of patients (50) by the decimal (0.6) to find the expected number of patients reporting fatigue.
  • Step 5: Calculate 50 × 0.6, which equals 30.
  • Probability and Expectation – Understanding how to calculate expected outcomes based on given probabilities.
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