5.1 Expected Value

5 Questions | Total Attempts: 105

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5.1 Expected Value

Questions and Answers
  • 1. 
    What is the expected value of the random variable representing the number observed on a single roll of a six-sided die?
  • 2. 
    A customer randomly selects three RAM modules from a shipment of seven known to contain two defective modules. What is the probability that the customer chooses exactly one defective module? Leave your answer as a fraction in lowest terms.
  • 3. 
    A tetrahedron has four equal triangular faces. The faces of a tetrahedral die are labelled with the numbers one, three, five, and seven. What is the expected value of the random variable representing the number observed on a single roll of this die?
    • A. 

      3

    • B. 

      3.5

    • C. 

      4

    • D. 

      5

  • 4. 
    When we compare the possible values for a discrete random variable to its expected value, the following statement must be true.
    • A. 

      The possible values and the expected value must all be whole numbers.

    • B. 

      The expected value must be one of the possible values.

    • C. 

      The possible values must all be whole numbers but the expected value may be a rational number.

    • D. 

      The expected value will not be a whole number.

  • 5. 
    The following table is a valid probability distribution for a random variable X. What must be the value for P(2) to complete the table? X P(X) 0 0.1 1 0.3 2   3 0.2