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Free Throw Frequency 3952Ad

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Free Throw Frequency 3952Ad


1. **State the problem:** We have 8 players each shooting 2 free throws. We want to find the relative frequency distribution of the number of free throws made by each player. 2. **Identify possible outcomes:** Each player can make 0, 1, or 2 free throws. 3. **Count the number of made free throws for each player:** - Rahul: XX = 0 made - Amit: OO = 2 made - Anna: XO = 1 made - Divya: OX = 1 made - Denz: OO = 2 made - Kiran: XO = 1 made - Sara: XO = 1 made - Romain: OO = 2 made 4. **Tally the frequencies:** - 0 made: 1 player (Rahul) - 1 made: 4 players (Anna, Divya, Kiran, Sara) - 2 made: 3 players (Amit, Denz, Romain) 5. **Calculate relative frequencies:** Relative frequency = (frequency) / (total players) = frequency / 8 - 0 made: $\frac{1}{8} = 0.125$ - 1 made: $\frac{4}{8} = 0.5$ - 2 made: $\frac{3}{8} = 0.375$ 6. **Interpretation:** The relative frequency plot will have bars at 0, 1, and 2 free throws made with heights 0.125, 0.5, and 0.375 respectively. This shows that most players made exactly 1 free throw, some made 2, and one player missed both. Final relative frequencies: - 0 made: 0.125 - 1 made: 0.5 - 2 made: 0.375