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Analysis: Using the contingency table generated in Step 4 of the procedure, answer the following questions. You must show all of your work. Round all probabilities to four decimal places. 1. What is the probability of selecting a plain M&M candy? 2. What is the probability of selecting a red M&M candy? 3. What is the probability of selecting a plain M&M candy, given that the candy is orange? 4. Are the events "selecting a Type A M&M candy" and "selecting a blue M&M candy" independent? Explain why or why not. 5. Are the events "selecting a brown M&M candy" and "selecting an Type B M&M candy" mutually exclusive? Explain why or why not. 6. What is the probability of selecting a green M&M candy or an plain M&M candy? 7. What is the probability of selecting a Type A M&M candy, given that the candy is not yellow?

Analysis: Using the contingency table generated in Step 4 of the procedure, answer the following questions. You must show all of your work. Round all probabilities to four decimal places. 1. What is the probability of selecting a plain M&M candy? 2. What is the probability of selecting a red M&M candy? 3. What is the probability of selecting a plain M&M candy, given that the candy is orange? 4. Are the events "selecting a Type A M&M candy" and "selecting a blue M&M candy" independent? Explain why or why not. 5. Are the events "selecting a brown M&M candy" and "selecting an Type B M&M candy" mutually exclusive? Explain why or why not. 6. What is the probability of selecting a green M&M candy or an plain M&M candy? 7. What is the probability of selecting a Type A M&M candy, given that the candy is not yellow?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Hello, I need help with the assignment attached below. Instructions: Use the contingency table in page 1 to answer the questions on page 2. Please answer Questions 1-7 with step by step directions so that I can refer back to and take notes. Thank you

Lab 4(b)-Probability Part 1: Candy contingency table Objective: In this lab, you will use M&M candies to create a contingency table and explore the concepts of probability and independence. Materials: Three different types of M&M bags. One must be plain. The other two you may select. M&M types are peanut, almond etc. Purchase M&M types which have an obviously different shape to ensure you are able to sort them by type after they have been mixed. The bags you purchase should, preferably, be a sharing size to ensure you have a sufficient number of M&M's Two bowls or container to hold the candies. O O A large serving spoon Six small cups to sort the candy O or 6 paper plates to sort the candy O or 6 napkins to sort the candy The table below to record your data M&M Color Blue Brown Green Orange Red Yellow Totals A Peanut S 5 4 6 9 7 36 M&M Type B Crispy 5 9 5 3 8 11 41 Plain 3 4 3 2 7 + 23 Totals 13 18 12 11 24 22 100 Note: Each row of the table represents the color of the M&M candy. Since those colors are fixed, they are filled in for you. Each column should represent the type of M&M candy. Since you are choosing which type of candy to purchase, there are blank for the table headers. Fill in the type of M&M candy you purchased in for column A and B. These will be referred to as Type A M&M and Type B M&M candy in the analysis portion below.
Transcribed Image Text:Lab 4(b)-Probability Part 1: Candy contingency table Objective: In this lab, you will use M&M candies to create a contingency table and explore the concepts of probability and independence. Materials: Three different types of M&M bags. One must be plain. The other two you may select. M&M types are peanut, almond etc. Purchase M&M types which have an obviously different shape to ensure you are able to sort them by type after they have been mixed. The bags you purchase should, preferably, be a sharing size to ensure you have a sufficient number of M&M's Two bowls or container to hold the candies. O O A large serving spoon Six small cups to sort the candy O or 6 paper plates to sort the candy O or 6 napkins to sort the candy The table below to record your data M&M Color Blue Brown Green Orange Red Yellow Totals A Peanut S 5 4 6 9 7 36 M&M Type B Crispy 5 9 5 3 8 11 41 Plain 3 4 3 2 7 + 23 Totals 13 18 12 11 24 22 100 Note: Each row of the table represents the color of the M&M candy. Since those colors are fixed, they are filled in for you. Each column should represent the type of M&M candy. Since you are choosing which type of candy to purchase, there are blank for the table headers. Fill in the type of M&M candy you purchased in for column A and B. These will be referred to as Type A M&M and Type B M&M candy in the analysis portion below.
Lab 4(b)-Probability Part 1: Candy contingency table Objective: In this lab, you will use M&M candies to create a contingency table and explore the concepts of probability and independence. Materials: Three different types of M&M bags. One must be plain. The other two you may select. M&M types are peanut, almond etc. Purchase M&M types which have an obviously different shape to ensure you are able to sort them by type after they have been mixed. The bags you purchase should, preferably, be a sharing size to ensure you have a sufficient number of M&M's Two bowls or container to hold the candies. O O A large serving spoon Six small cups to sort the candy O or 6 paper plates to sort the candy O or 6 napkins to sort the candy The table below to record your data M&M Color Blue Brown Green Orange Red Yellow Totals A Peanut S 5 4 6 9 7 36 M&M Type B Crispy 5 9 5 3 8 11 41 Plain 3 4 3 2 7 + 23 Totals 13 18 12 11 24 22 100 Note: Each row of the table represents the color of the M&M candy. Since those colors are fixed, they are filled in for you. Each column should represent the type of M&M candy. Since you are choosing which type of candy to purchase, there are blank for the table headers. Fill in the type of M&M candy you purchased in for column A and B. These will be referred to as Type A M&M and Type B M&M candy in the analysis portion below.
Transcribed Image Text:Lab 4(b)-Probability Part 1: Candy contingency table Objective: In this lab, you will use M&M candies to create a contingency table and explore the concepts of probability and independence. Materials: Three different types of M&M bags. One must be plain. The other two you may select. M&M types are peanut, almond etc. Purchase M&M types which have an obviously different shape to ensure you are able to sort them by type after they have been mixed. The bags you purchase should, preferably, be a sharing size to ensure you have a sufficient number of M&M's Two bowls or container to hold the candies. O O A large serving spoon Six small cups to sort the candy O or 6 paper plates to sort the candy O or 6 napkins to sort the candy The table below to record your data M&M Color Blue Brown Green Orange Red Yellow Totals A Peanut S 5 4 6 9 7 36 M&M Type B Crispy 5 9 5 3 8 11 41 Plain 3 4 3 2 7 + 23 Totals 13 18 12 11 24 22 100 Note: Each row of the table represents the color of the M&M candy. Since those colors are fixed, they are filled in for you. Each column should represent the type of M&M candy. Since you are choosing which type of candy to purchase, there are blank for the table headers. Fill in the type of M&M candy you purchased in for column A and B. These will be referred to as Type A M&M and Type B M&M candy in the analysis portion below.
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