Discrete Distribution (Lucky Dice Experiment) Quiz
The question sheet
Reveal any answer as you study-
In the Lucky Dice experiment, what decides your profit?
- The number of matches
- The number of dice
- The relative frequency
- The mean profit
Reveal answer
Answer: The number of matches
Source evidence
PDF page 278: The number of matches will decide your profit.
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To how many decimal places should relative frequency and probability answers be rounded?
- Two
- Four
- Five
- Three
Reveal answer
Answer: Four
Source evidence
PDF page 278: Round answers to relative frequency and probability problems to four decimal places.
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What does the abbreviation RF stand for?
- Regular frequency
- Rounded fraction
- Relative frequency
- Random factor
Reveal answer
Answer: Relative frequency
Source evidence
PDF page 280: RF = relative frequency
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One learning outcome asks students to compare empirical data with a theoretical distribution to test if a game fits what?
- A discrete distribution
- A binomial model
- A skewed shape
- A normal curve
Reveal answer
Answer: A discrete distribution
Source evidence
PDF page 278: • The student will compare empirical data and a theoretical distribution to determine if a Tet gambling game fits a
PDF page 278: discrete distribution.
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Which columns appear in the Organize the Data table (Table 4.18)?
- x, y, mean, median
- Frequency, mode, range
- x, z-score, mean
- x, y, Frequency, Relative Frequency
Reveal answer
Answer: x, y, Frequency, Relative Frequency
Source evidence
PDF page 279: x y Frequency Relative Frequency
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Using the Theoretical Distribution data, which probability is item 1?
- P(x = 0)
- P(x = 2)
- P(x = 3)
- P(x < 3)
Reveal answer
Answer: P(x = 3)
Source evidence
PDF page 280: 1. P(x = 3) = ________
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Which probability expression is item 2 of the theoretical calculations?
- P(x = 3)
- P(x ≥ 2)
- P(0 < x < 3)
- P(x = 0)
Reveal answer
Answer: P(0 < x < 3)
Source evidence
PDF page 280: 2. P(0 < x < 3) = ________
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The empirical profit questions ask about the average profit per game and whether it was:
- A tie
- A theoretical value
- A win or loss per game
- A relative frequency
Reveal answer
Answer: A win or loss per game
Source evidence
PDF page 279: a. What was the average profit per game?
PDF page 279: b. Did this represent an average win or loss per game?
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The theoretical distribution section asks what about profit?
- The median profit
- The relative frequency
- The z-score
- The expected profit per game
Reveal answer
Answer: The expected profit per game
Source evidence
PDF page 280: a. What was the expected profit per game?
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Expected value is also called the:
- Mode
- Median
- Range
- Mean
Reveal answer
Answer: Mean
Source evidence
PDF page 282: expected value expected arithmetic average when an experiment is repeated many times; also called the mean; notations μ; for a discrete random variable (RV) with probability distribution function P(x),the definition can also be
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According to the law of large numbers, as trials increase, the gap between theoretical and relative frequency probability:
- Stays fixed
- Doubles
- Grows larger
- Approaches zero
Reveal answer
Answer: Approaches zero
Source evidence
PDF page 283: standard deviation of a probability distribution a number that measures how far the outcomes of a statistical experiment are from the mean of the distribution the law of large numbers as the number of trials in a probability experiment increases, the difference between the theoretical probability of an event and the relative frequency probability approaches zero
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What does the standard deviation of a probability distribution measure?
- The most common outcome
- The total number of trials
- The sum of all outcomes
- How far outcomes are from the mean
Reveal answer
Answer: How far outcomes are from the mean
Source evidence
PDF page 283: standard deviation of a probability distribution a number that measures how far the outcomes of a statistical experiment are from the mean of the distribution the law of large numbers as the number of trials in a probability experiment increases, the difference between the theoretical probability of an event and the relative frequency probability approaches zero
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