Let's solve the problem step by step. --- ## **Step 1: Data Extraction** From the table, here are the numbers of major league and minor league professional sports players by age group: | Age Group | Major League | Minor League | Total | |------------------|-------------|--------------|-------| | 15–24 years old | 130 | 120 | 250 | | 25–34 years old | 270 | 230 | 500 | | 35–44 years old | 60 | 40 | 100 | | **Total** | 460 | 390 | 850 | --- ## **Step 2: Calculating Probabilities** We use the formula: \[ P(A \text{ and } B) = \frac{\text{Number for both A and B}}{\text{Total number}} \] ### **a) Probability (15-24 and Major League)** \[ P(\text{15-24 and Major League}) = \frac{130}{850} = .153 \] ### **b) Probability (15-24 and Minor League)** \[ P(\text{15-24 and Minor League}) = \frac{120}{850} = .141 \] ### **c) Probability (25-34 and Major League)** \[ P(\text{25-34 and Major League}) = \frac{270}{850} = .318 \] ### **d) Probability (25-34 and Minor League)** \[ P(\text{25-34 and Minor League}) = \frac{230}{850} = .271 \] ### **e) Probability (35-44 and Major League)** \[ P(\text{35-44 and Major League}) = \frac{60}{850} = .071 \] ### **f) Probability (35-44 and Minor League)** \[ P(\text{35-44 and Minor League}) = \frac{40}{850} = .047 \] --- ## **Step 3: Fill in the Table** | | Major League | Minor League | |-----------|--------------|-------------| | 15–24 | .153 | .141 | | 25–34 | .318 | .271 | | 35–44 | .071 | .047 | --- ## **Final Answers** **a.** .153 **b.** .141 **c.** .318 **d.** .271 **e.** .071 **f.** .047 Let me know if you need help with the next parts!