stats

Lesson 1.1

Random Variables

is an experiment that can be repeated numerous times under the same conditions. The results must be independent of one another. Example: Tossing a coin is a random experiment.

• Random Experiment

• Outcome

• Sample Space

• Random Variables

Lesson 1.1

Random Variables

is the result of a random experiment.

Example: The possible outcomes of tossing a coin are head and tail.

• Random Experiment

• Outcome

• Sample Space

• Random Variables

Lesson 1.1

Random Variables

is the set of possible outcomes of a random experiment; denoted by a capital letter, usually 𝑆.

Example: The sample space of tossing a coin is 𝑆 = {𝐻, 𝑇}.

• Random Experiment

• Outcome

• Sample Space

• Random Variables

Lesson 1.1

Random Variables

is a function that associates a numerical value to every outcome of a random experiment; denoted by a capital letter, usually 𝑋. Example: Suppose 𝑋 represents the number of heads that can appear in tossing a coin. The possible values of the random variable 𝑋 are 0 and 1.

• Random Experiment

• Outcome

• Sample Space

• Random Variables

Lesson 1.2

Discrete and Continuous Random Variables

is a random variable with a finite number of possible values or an infinite number of values that can be counted

• Random Experiment

• Discrete Random Variable

• Sample Space

• Continuous Random Variable

Lesson 1.2

Discrete and Continuous Random Variables

a random variable that can assume an infinite number of values that can take decimal or fractional values.

• Random Experiment

• Discrete Random Variable

• Sample Space

• Continuous Random Variable

Lesson 1.3

Probability Distribution

is a list, a table, a graph, or a formula of probabilities associated with each of its possible values

• probability distribution of a discrete random variable

• Discrete Random Variable

• Sample Space

• Continuous Random Variable

Lesson 2.1

Probability Mass Function of a Discrete Random Variable

is a a graph of a probability mass function.

• probability distribution of a discrete random variable

• Discrete Random Variable

• histogram

• Continuous Random Variable

states that 68.26% of the scores fall within one standard deviation away from the mean, 95.44% of the scores fall within two standard deviations away from the mean, and 99.74% of the scores fall within three standard deviations away from the mean.

• Empirical Rule

• Outliers

• Extreme Outliers

scores that are more than two standard deviations away from the mean

• Empirical Rule

• Outliers

• Extreme Outliers