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In a class of 30 students, the probability of a student being selected for a pro

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Question: In a class of 30 students, the probability of a student being selected for a project is 0.4. What is the expected number of students selected?

Options:

  1. 10
  2. 12
  3. 15
  4. 20

Correct Answer: 12

Solution:

The expected number of students selected is calculated as 30 * 0.4 = 12.

In a class of 30 students, the probability of a student being selected for a pro

Practice Questions

Q1
In a class of 30 students, the probability of a student being selected for a project is 0.4. What is the expected number of students selected?
  1. 10
  2. 12
  3. 15
  4. 20

Questions & Step-by-Step Solutions

In a class of 30 students, the probability of a student being selected for a project is 0.4. What is the expected number of students selected?
  • Step 1: Identify the total number of students in the class, which is 30.
  • Step 2: Identify the probability of a student being selected for the project, which is 0.4.
  • Step 3: To find the expected number of students selected, multiply the total number of students (30) by the probability of selection (0.4).
  • Step 4: Perform the multiplication: 30 * 0.4 = 12.
  • Step 5: The result, 12, is the expected number of students selected for the project.
  • Probability – Understanding how to calculate expected values using probability.
  • Expected Value – The concept of expected value in a probabilistic context, specifically in relation to a binomial distribution.
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