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Discrete Distribution (Playing Card Experiment) Quiz

12 questions math Grades 9-12

The question sheet

Reveal any answer as you study
  1. What material is required for the empirical data procedure in this experiment?

    • A spinner with four colors
    • A pair of six-sided dice
    • One full deck of playing cards
    • A bag of colored marbles
    Reveal answer

    Answer: One full deck of playing cards

    Source evidence

    PDF page 274: • One full deck of playing cards

  2. What is used to perform the simulation part of the experiment?

    • A programmable calculator
    • A random number table
    • A stopwatch
    • A coin
    Reveal answer

    Answer: A programmable calculator

    Source evidence

    PDF page 274: • Programmable calculator

    PDF page 274: Procedure for Simulation Repeat the experimental procedure using a programmable calculator.

  3. The experimental procedure for empirical data is to:

    • Flip a coin ten times
    • Roll two dice at once
    • Pick one card from shuffled cards
    • Deal five cards to each player
    Reveal answer

    Answer: Pick one card from shuffled cards

    Source evidence

    PDF page 274: Procedure for Empirical Data The experimental procedure for empirical data is to pick one card from a deck of shuffled cards.

  4. Which calculator command is used to generate 10 card draws with four suits?

    • randInt(1,4,10)
    • rand(4)
    • randBin(10,4)
    • randNorm(1,4)
    Reveal answer

    Answer: randInt(1,4,10)

    Source evidence

    PDF page 274: clubs. Generate 10 draws of cards with four suits with randInt(1,4,10).

  5. One student learning outcome is to demonstrate an understanding of:

    • Confidence intervals
    • Regression lines
    • Continuous distributions
    • Long-term probabilities
    Reveal answer

    Answer: Long-term probabilities

    Source evidence

    PDF page 274: • The student will demonstrate an understanding of long-term probabilities.

  6. Students compare empirical data and a theoretical distribution to determine if an everyday experiment fits a:

    • Discrete distribution
    • Normal distribution
    • Uniform curve
    • Exponential model
    Reveal answer

    Answer: Discrete distribution

    Source evidence

    PDF page 274: • The student will compare empirical data and a theoretical distribution to determine if an everyday experiment fits a

    PDF page 274: discrete distribution.

  7. Another learning outcome asks students to compare a theoretical distribution with a:

    • Historical data set
    • Population census
    • Technology-generated simulation
    • Physical survey result
    Reveal answer

    Answer: Technology-generated simulation

    Source evidence

    PDF page 274: • The student will compare technology-generated simulation and a theoretical distribution.

  8. The theoretical distribution for X in the experiment is modeled as:

    • X ~ U(_,_)
    • X ~ N(_,_)
    • X ~ P(_)
    • X ~ B(_,_)
    Reveal answer

    Answer: X ~ B(_,_)

    Source evidence

    PDF page 274: . Theoretically, X ~ B(_____,_____).

  9. What abbreviation is defined as relative frequency?

    • PF
    • FR
    • RF
    • PDF
    Reveal answer

    Answer: RF

    Source evidence

    PDF page 277: RF = relative frequency

  10. When calculating theoretical probabilities, answers should be rounded to:

    • The nearest whole number
    • Two decimal places
    • Four decimal places
    • Three decimal places
    Reveal answer

    Answer: Four decimal places

    Source evidence

    PDF page 277: Use the table from the Theoretical Distribution section to calculate the following answers. Round your answers to four decimal places.

  11. The theoretical PDF chart is built based on the distribution described in which section?

    • The Discussion section
    • The Procedure section
    • The Simulation section
    • The Histogram section
    Reveal answer

    Answer: The Procedure section

    Source evidence

    PDF page 276: a. Build the theoretical PDF chart based on the distribution in the Procedure section.

  12. Which quantity is calculated from the Theoretical Distribution table?

    • RF(x = 3)
    • P(x = 3)
    • Mean of empirical data
    • Simulation frequency
    Reveal answer

    Answer: P(x = 3)

    Source evidence

    PDF page 277: Use the table from the Theoretical Distribution section to calculate the following answers. Round your answers to four decimal places.

    PDF page 277: • P(x = 3) = ________

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