5.1 Expected Value

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5.1 Expected Value - Quiz

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?

    Correct Answer
    3.5
    21/6
  • 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.

    Correct Answer
    4/7
  • 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

    Correct Answer
    C. 4
  • 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.

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

    Correct Answer
    0.4

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  • Current Version
  • Mar 17, 2022
    Quiz Edited by
    ProProfs Editorial Team
  • Jan 23, 2014
    Quiz Created by
    Jensenmath9
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