1. **Problem B: Classify the random variables as discrete or continuous.** 2. **Discrete random variables** take countable values, often integers. 3. **Continuous random variables** take any value within an interval, often measurements. 4. Classifications: - Weight of professional boxers: **Continuous** (weight can be any value in a range). - Number of defective COVID-19 test kits: **Discrete** (countable number). - Area of lots in a subdivision: **Continuous** (area can be any positive real number). - Number of recovered COVID-19 patients per province: **Discrete** (countable number). - Number of students with Academic Excellence per district: **Discrete** (countable number). 5. **Problem C: Determine the values of the random variables in each distribution.** 6. For two coins tossed, let $H$ = number of tails. Possible outcomes: HH, HT, TH, TT. Number of tails $H$ can be 0, 1, or 2. So, values of $H$ are $\{0,1,2\}$. 7. For the meeting with 4 Koreans and 2 Filipinos, selecting 3 envoys one after another. Let $K$ = number of Koreans selected. Minimum $K$ is 0 (no Koreans selected). Maximum $K$ is 3 (all selected are Koreans). Possible values of $K$ are $\{0,1,2,3\}$. 8. These values represent all possible counts of Koreans in the selected group of 3 envoys. **Final answers:** - B: Weight (Continuous), Defective kits (Discrete), Area (Continuous), Recovered patients (Discrete), Students with excellence (Discrete). - C1: Values of $H$ are $\{0,1,2\}$. - C2: Values of $K$ are $\{0,1,2,3\}$.