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In a survey, 60% of people prefer tea over coffee. If 10 people are surveyed, wh

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Question: In a survey, 60% of people prefer tea over coffee. If 10 people are surveyed, what is the expected number of people who prefer tea?

Options:

  1. 4
  2. 6
  3. 8
  4. 10

Correct Answer: 6

Solution:

Expected number = 60% of 10 = 0.6 * 10 = 6.

In a survey, 60% of people prefer tea over coffee. If 10 people are surveyed, wh

Practice Questions

Q1
In a survey, 60% of people prefer tea over coffee. If 10 people are surveyed, what is the expected number of people who prefer tea?
  1. 4
  2. 6
  3. 8
  4. 10

Questions & Step-by-Step Solutions

In a survey, 60% of people prefer tea over coffee. If 10 people are surveyed, what is the expected number of people who prefer tea?
  • Step 1: Understand that 60% means 60 out of every 100 people prefer tea.
  • Step 2: We need to find out how many people prefer tea out of 10 surveyed.
  • Step 3: Convert 60% to a decimal. 60% as a decimal is 0.6.
  • Step 4: Multiply the decimal (0.6) by the number of people surveyed (10).
  • Step 5: Calculate 0.6 * 10, which equals 6.
  • Step 6: Conclude that the expected number of people who prefer tea is 6.
  • Probability and Expectation – Understanding how to calculate the expected value based on probabilities.
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