A computer simulated two picks with and without replacement 24 times each. The ordered pairs of colors picked were recorded in the following table: 5-0004 1-2023 5MIN With Replacement Without Replacement (Y, BL) (G, B (R, Y) (R, B ) ( B, R ) ( Y , G ) (R, Y) ( BL, R) (R, B ) ( B, Y ) (BL, O) (0, R ( Y , Y ) ( BL , B ) (R, Y) (BL, R) (BL, B) (Y, G ) (BL, Y) (R, B) (R, BL) (B, O) (R, O) (R, B ) ( Y , R ) ( B , BL ) (0, R) (R, O) (R, BL) ( B , Y ) (G, R ) ( R , B ) down.) (G, O) (B, Y) ( BL , Y ) ( Y , Y ) ( Y , Y) (0 , Y ) ( Y, BL) ( G , Y ) er (0, 0) (B, B) (R, G ) ( Y, O) (0, BL) (B, O) ( R, BL ) ( R , R ) Table 3.13 Empirical Results Use the information from Table 3.13 to complete the following table: With Replacement Without Replacement P(2 reds) ded.) P(R1B2 OR B1R2) S aldeT mont nohomolater ave P(R1 and G2) P(G2 | R1) P(no yellows) AC ng r P(doubles) P(no doubles) Table 3.14 Empirical Probabilities Discussion Questions 1. Why are the With Replacement and Without Replacement probabilities different? 2. Convert P(no yellows) to decimal format for both Theoretical With Replacement and Empirical With Replacement. Round to four decimal places. a. Theoretical With Replacement: P(no yellows) = b. Empirical With Replacement: P(no yellows) = c. Are the decimal values close? Did you expect them to be closer together or farther apart? Why? 3. If you increased the number of times you picked two M&M's to 240 times, why would empirical probabilities change? 4. Would this change cause the empirical probabilities and theoretical probabilities to be closer together or farther apart? How do you know? 5. Explain the primary difference between P(R1 and G2) and P(G2 | R1)