7:36 22 Back Lab 3 (Probability Lab).docx 1 Lab 3: Probability Lab Each group needs a collection of 30 mixed color M & M candies. Record the number of each color in the Population Table below. Population Table Color Quantity Yellow (Y) Blue (BL) Red (R) Green (G) Brown (B) Orange (O) You are picking two M&M's with replacement or without replacement. Use the population table to complete the Classical Probabilities table below. Classical Probabilities With Replacement Without Replacement P (2 Reds) P( P ( () P (no Yellows) P (doubles) Note: Now, put the M & M's in a cup and pick 2 M & M's, one at a time without looking as you pick them. 1. Replace the first M & M before picking the second one. Record the results in the "With Replacement" Column of the empirical table. Do this a total of 20 times. 2. The second time, pick the M & M's without replacing the first one. Record the results in the "Without Replacement" column of the "Empirical Results" table. After you record the pick, put both M & M's back. Do this again a total of 20 times. Empirical Results With Replacement Without Replacement CO 6 54 Dashboard Calendar To Do Notifications Inbox 7:36 22 Back Lab 3 (Probability Lab).docx Now, put the M & M's in a cup and pick 2 M & M's, one at a time without looking as you pick them. 1. Replace the first M & M before picking the second one. Record the results in the "With Replacement" Column of the empirical table. Do this a total of 20 times. 2. The second time, pick the M & M's without replacing the first one. Record the results in the "Without Replacement column of the Empirical Results" table. After you record the pick, put both M & M's back. Do this again a total of 20 times. Empirical Results With Replacement Without Replacement Use the data in the Empirical Results table to calculate the empirical probability questions. Leave your answers in unreduced fraction form. Do not multiply any fractions. Empirical Probabilities P (2 Reds) P( P( () P (no Yellows) P (doubles) With Replacement Without Replacement Discussion Questions 1. Why are the "With Replacement and Without Replacement" probabilities different? 2. Explain the difference between P( and P () 3. If you increased the number of times you picked 2 M & M's to 200 times, would the empirical probabilities and classical probabilities be closer together or farther apart? How do you know? CO 6 54 Dashboard Calendar To Do Notifications Inbox 7:36 To Do Assignment Details STATS 12 Introduction to Prob/Stats 31881 21 Directions: 1. You should have exactly 30 M&Ms to work on this lab. 2. Leave the probabilities in the form of unreduced fractions. Do not answer in decimals. 3. For this Lab you need to know the following concepts. Calculating probabilities using classical and empirical methods Calculating OR Probabilities Calculating AND Probabilities Calculating Conditional Probabilities The Law of Large Numbers 4. Please go through the Rubric to understand the grading of this Lab. For help on this lab watch the video posted below. Color Yellow (Y) Blue (BL) Red (R) Green (G) Brown (B) Orange (O) Quantity T 2 4 1 5 3 16 You are picking two M&M's with replacement or without replacement. Use the population table to complete the Classical Probabilities table below. P (2 Reds) P(R AND G) P (RB Or BR P (R/G) Classical Probabilities With Replacement 4/16/16 4/16/16 4/16 56 +7646 4/2 Dependent Without Replacement 4/16. 4/16 15 0:00 / 8:03 Previous Submit Assignment Next CO 6 54 Dashboard Calendar To Do Notifications Inbox