Classifying Random Variables

Identify whether the following random variable is discrete or continuous: The number of students in a class.

• discrete

• negative

• fractional

• even

Identify whether the following random variable is discrete or continuous: The height of a person.

• categorical

• nominal

• ordinal

• continuous

Differentiate between discrete and continuous random variables with an example of each.

• Discrete random variables can take on any value within a certain range, while continuous random variables can only take on specific, isolated values.

• The number of students in a class is a continuous random variable, as it can take on any value within a certain range.

• The height of students in a class is a discrete random variable, as it can only take on whole number values.

• Discrete random variables can only take on specific, isolated values, while continuous random variables can take on any value within a certain range. For example, the number of students in a class is a discrete random variable, as it can only take on whole number values. On the other hand, the height of students in a class is a continuous random variable, as it can take on any value within a certain range.

Apply probability concepts to a discrete random variable by calculating the probability of rolling a 5 on a fair six-sided die.

• 1/2

• 1/4

• 1/3

• 1/6

Tags

CCSS.7.SP.C.7A

Apply probability concepts to a continuous random variable by finding the probability that a randomly selected person is taller than 6 feet.

• The probability can be found by using the mean and median of the data

• The probability can be found by using the mode of the data

• The probability that a randomly selected person is taller than 6 feet can be found using the z-score formula and standard normal distribution table.

• The probability can be found by using the range of the data

Tags

CCSS.HSS.ID.A.4

Identify whether the following random variable is discrete or continuous: The time it takes to complete a marathon.

• Continuous

• Intermittent

• Variable

• Discrete

Tags

CCSS.6.SP.A.3

Identify whether the following random variable is discrete or continuous: The number of goals scored in a soccer match.

• discrete

• fractional

• continuous

• infinite

Explain the concept of a discrete random variable and provide an example.

• The temperature in degrees Celsius

• A discrete random variable is a variable that can only take on a finite number of distinct values. These values are typically whole numbers and cannot take on any value within a given range. For example, the number of heads obtained when flipping a coin three times is a discrete random variable, as it can only take on the values 0, 1, 2, or 3.

• The weight of a person in kilograms

• The speed of a car in miles per hour

Explain the concept of a continuous random variable and provide an example.

• The temperature in degrees Celsius is a continuous random variable, as it can only take specific values.

• Example: The height of a person is a continuous random variable, as it can take any value within a certain range (e.g., between 4 feet and 7 feet).

• The number of students in a classroom is a continuous random variable, as it can only take whole number values.

• The result of a coin toss is a continuous random variable, as it can only be either heads or tails.

Apply probability concepts to a discrete random variable by calculating the probability of drawing a red card from a standard deck of 52 playing cards.

• 1.5

• 0.75

• 0.25

• 0.5

Tags

CCSS.7.SP.C.7B