Question

classify each of the following random variables as discrete or continuous.
discrete random variable
continuous random variable
answer bank
x = the reported score of a randomly selected senior at your school on the sat math test
r = the temperature of the turkey meat in a randomly chosen location in a cooked turkey
h = the number of homework problems assigned by your statistics teacher on a randomly selected class day

Explanation:

Step1: Define Discrete/Continuous

Discrete: countable (integers, whole numbers). Continuous: measurable (real numbers, infinite values in interval).

Step2: Analyze \( X \) (SAT Score)

SAT Math scores are whole numbers (e.g., 400 - 800, increments of 10 or 1? Typically whole numbers). Countable → Discrete.

Step3: Analyze \( R \) (Temperature)

Temperature can take any real value (e.g., 35.5°F, 35.55°F). Measurable, infinite in interval → Continuous.

Step4: Analyze \( H \) (Homework Problems)

Number of problems is a non - negative integer (0, 1, 2,...). Countable → Discrete.

Answer:

Discrete Random Variable: \( X \) (the reported score of a randomly selected senior at your school on the SAT Math test), \( H \) (the number of homework problems assigned by your statistics teacher on a randomly selected class day)
Continuous Random Variable: \( R \) (the temperature of the turkey meat in a randomly chosen location in a cooked turkey)