Discrete Distribution (Lucky Dice Experiment) Quiz
The question sheet
Reveal any answer as you study-
In the Lucky Dice lab, what is the student comparing to a theoretical distribution?
- Empirical data from a Tet gambling game
- A continuous curve
- A weather forecast model
- A binomial coin toss
Reveal answer
Answer: Empirical data from a Tet gambling game
Source evidence
PDF page 298: • The student will compare empirical data and a theoretical distribution to determine if a Tet gambling game fits a
PDF page 298: discrete distribution.
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According to the objectives, the student will demonstrate an understanding of what?
- Short-term outcomes
- Confidence intervals
- Card counting
- Long-term probabilities
Reveal answer
Answer: Long-term probabilities
Source evidence
PDF page 298: • The student will demonstrate an understanding of long-term probabilities.
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What equipment is required for the Lucky Dice experiment?
- A number cube and marbles
- Lucky Dice or three regular dice
- A deck of 52 cards
- Two coins and a spinner
Reveal answer
Answer: Lucky Dice or three regular dice
Source evidence
PDF page 298: • One “Lucky Dice” game or three regular dice
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To how many decimal places should relative frequency and probability answers be rounded?
- Five
- Three
- Two
- Four
Reveal answer
Answer: Four
Source evidence
PDF page 298: Round answers to relative frequency and probability problems to four decimal places.
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In the Lucky Dice game, what decides your profit?
- The size of your bet only
- The number of rolls
- The color of the dice
- The number of matches
Reveal answer
Answer: The number of matches
Source evidence
PDF page 298: The number of matches will decide your profit.
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In Table 4.18, what must be calculated after recording frequency?
- Median
- Standard deviation
- Mode
- Relative frequency
Reveal answer
Answer: Relative frequency
Source evidence
PDF page 298: In Table 4.18, fill in the y-value that corresponds to each x-value. Next, record the number of matches picked for your class. Then, calculate the relative frequency.
PDF page 298: x y Frequency Relative Frequency
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What does the note say 'RF' stands for?
- Random factor
- Relative frequency
- Repeated fraction
- Rounded figure
Reveal answer
Answer: Relative frequency
Source evidence
PDF page 300: NOTE RF = relative frequency
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Which probability calculation is requested from the Theoretical Distribution data?
- P(x = 3)
- P(x = 10)
- P(x = 6)
- P(x < 0)
Reveal answer
Answer: P(x = 3)
Source evidence
PDF page 300: Use the data from the Theoretical Distribution section to calculate the following answers. Round your answers to four decimal places.
PDF page 300: 1. P(x = 3) = ________
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What is the notation for a binomial distribution with n trials and probability p?
- X ~ P(μ)
- X ~ H(r, b, n)
- X ~ G(p)
- X ~ B(n, p)
Reveal answer
Answer: X ~ B(n, p)
Source evidence
PDF page 301: binomial probability distribution a discrete random variable (RV) that arises from Bernoulli trials; there are a fixed number, n, of independent trials Independent means that the result of any trial (for example, trial one) does not affect the results of the following trials, and all trials are conducted under the same conditions. Under these circumstances the binomial RV X is defined as the number of successes in n trials. The notation is: X ~ B(n, p). The mean is μ = np and the standard deviation is σ = npq . The probability of the following exactly x successes in n trials is
PDF page 304: X ~ B(n, p) means that the discrete random variable X has a binomial probability distribution with n trials and probability of success p. X = the number of successes in n independent trials n = the number of independent trials X takes on the values x = 0, 1, 2, 3, . . . , n p = the probability of a success for any trial q = the probability of a failure for any trial p + q = 1 q = 1 – p
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For a binomial random variable X, the mean is calculated with which formula?
- μ = ∑ xP(x)
- μ = 1/p
- μ = np
- μ = r + b
Reveal answer
Answer: μ = np
Source evidence
PDF page 303: The outcomes of a binomial experiment fit a binomial probability distribution. The random variable X = the number of successes obtained in the n independent trials. The mean of X can be calculated using the formula μ = np, and the standard
PDF page 304: The mean of X is μ = np. The standard deviation of X is σ =
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According to the law of large numbers, as trials increase, the gap between theoretical and relative frequency probability does what?
- Stays constant
- Doubles
- Increases steadily
- Approaches zero
Reveal answer
Answer: Approaches zero
Source evidence
PDF page 302: 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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The mean or expected value of a discrete random variable is given by which formula?
- μ = √(npq)
- μ = np
- μ = ∑ xP(x)
- μ = 1/p
Reveal answer
Answer: μ = ∑ xP(x)
Source evidence
PDF page 304: Mean or Expected Value: μ = ∑ xP(x)
PDF page 301: written in the form μ = ∑ xP(x)
High School Statistics
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