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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 experimental procedure is used to obtain the empirical data?

    • Pick one card from a shuffled deck
    • Roll a fair six-sided die
    • Flip a coin ten times
    • Draw two cards at once
    Reveal answer

    Answer: Pick one card from a shuffled deck

    Source evidence

    PDF page 293: The experimental procedure for empirical data is to pick one card from a deck of shuffled cards.

  2. How many full decks of playing cards are used?

    • One full deck
    • Two decks
    • Three decks
    • Half a deck
    Reveal answer

    Answer: One full deck

    Source evidence

    PDF page 293: • One full deck of playing cards

  3. What calculator command generates 10 draws of cards with four suits?

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

    Answer: randInt(1,4,10)

    Source evidence

    PDF page 293: clubs. Generate 10 draws of cards with four suits with randInt(1,4,10).

  4. The student compares empirical data to a theoretical distribution to determine if it fits what?

    • A binomial trial
    • A continuous curve
    • A discrete distribution
    • A normal distribution
    Reveal answer

    Answer: A discrete distribution

    Source evidence

    PDF page 293: • The student will compare empirical data and a theoretical distribution to determine if an everyday experiment fits

    PDF page 293: a discrete distribution.

  5. Which is one stated objective of the experiment?

    • Count deck errors
    • Understand long-term probabilities
    • Measure card thickness
    • Design a new card game
    Reveal answer

    Answer: Understand long-term probabilities

    Source evidence

    PDF page 293: • The student will demonstrate an understanding of long-term probabilities.

  6. The technology-generated simulation is compared to what?

    • A theoretical distribution
    • Empirical data only
    • A histogram of coins
    • Another simulation
    Reveal answer

    Answer: A theoretical distribution

    Source evidence

    PDF page 293: • The student will compare technology-generated simulation and a theoretical distribution.

  7. How is the simulation data collected in this experiment?

    • By rolling dice
    • By flipping coins
    • Using a programmable calculator
    • By hand-drawing cards
    Reveal answer

    Answer: Using a programmable calculator

    Source evidence

    PDF page 293: Repeat the experimental procedure using a programmable calculator.

  8. What does 'RF' stand for in the note?

    • Row factor
    • Relative frequency
    • Real function
    • Random frequency
    Reveal answer

    Answer: Relative frequency

    Source evidence

    PDF page 296: NOTE RF = relative frequency

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

    • The Procedure section
    • The Results section
    • The Glossary section
    • The Summary section
    Reveal answer

    Answer: The Procedure section

    Source evidence

    PDF page 295: a. Build the theoretical PDF chart based on the distribution in the Procedure section.

  10. After building the theoretical PDF, what graph should be constructed?

    • A scatter plot
    • A box plot
    • A line graph
    • A histogram
    Reveal answer

    Answer: A histogram

    Source evidence

    PDF page 296: c. Construct a histogram of the theoretical distribution.

  11. To how many decimal places should the calculated answers be rounded?

    • Five
    • Four
    • Three
    • Two
    Reveal answer

    Answer: Four

    Source evidence

    PDF page 296: Use the table from the Theoretical Distribution section to calculate the following answers. Round your answers to four decimal places.

  12. Which probability calculation is requested from the theoretical table?

    • P(x = 3)
    • P(x = 10)
    • P(x = 12)
    • P(x = 20)
    Reveal answer

    Answer: P(x = 3)

    Source evidence

    PDF page 296: • P(x = 3) = ________

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