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4.10 A die is rolled two times. Provide a list of the possible outcomes of the two rolls in this form: the result from the first roll and the result from the second roll. 4.11 Refer to Exercise 4.10. Assume that the die is a fair die, that is, each of the outcomes has a probability of 1/36. What is the probability of observing a. Event A: Exactly one dot appears on each of the two upturned faces? b. Event B:The sum of the dots on the two upturned faces is exactly 4? c. Event C: The sum of the dots on the two upturned faces is at most 4?

4.10 A die is rolled two times. Provide a list of the possible outcomes of the two rolls in this form: the result from the first roll and the result from the second roll. 4.11 Refer to Exercise 4.10. Assume that the die is a fair die, that is, each of the outcomes has a probability of 1/36. What is the probability of observing a. Event A: Exactly one dot appears on each of the two upturned faces? b. Event B:The sum of the dots on the two upturned faces is exactly 4? c. Event C: The sum of the dots on the two upturned faces is at most 4?

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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please solve question 4.19

attached 4.11 for your reference

2 R. Lyman Ott, Michael Longnecker - An Introduction to Statistical Methods and Data Analysis-Cengage (2016).pdf - Adobe Reader File Edit View Window Help 210 (223 of 1179) 150% Comment Share four numbers? Bookmarks b. Which of the probability approaches (subjective, classical, or relative frequency) did you employ in obtaining your answer in part (a)? P Contents P Preface +W Statistics & 4.3 Basic Event Relations and Probability Laws Scientific Method Basic 4.10 A die is rolled two times. Provide a list of the possible outcomes of the two rolls in this ET Surveys & Experimental Studies to gather form: the result from the first roll and the result from the second roll. 4.11 Refer to Exercise 4.10. Assume that the die is a fair die, that is, each of the outcomes has a probability of 1/36. What is the probability of observing Basic Data Y Data Description ET Probability & a. Event A: Exactly one dot appears on each of the two upturned faces? b. Event B:The sum of the dots on the two upturned faces is exactly 4? c. Event C:The sum of the dots on the two upturned faces is at most 4? Probability Distributions Basic 4.12 Refer to Exercise 4.11. E P Inferences about a. Describe the event that is the complement of event A. b. Compute the complement of event A. Population Central Values EP Inferences Basic 4.13 Refer to Exercise 4.11. Comparing 2 Population Central Values a. Are events A and B mutually exclusive? b. Are events A and C mutually exclusive? c. Are events B and C mutually exclusive? + P Inferences about Bus. 4.14 A credit union takes a sample of four mortgages each month to survey the homeowners' satisfaction with the credit union's servicing of their mortgage. Each mortgage is classified as a fixed rate (F) or variable rate (V). Population Variances + P Inferences about more than 2 a. What are the 16 possible combinations of the four mortgages? Hint: One such Population Central Values 8.00 x 10.00 in ENG 12:55 PM P Type here to search 90°F IN 9/15/2021
Transcribed Image Text:2 R. Lyman Ott, Michael Longnecker - An Introduction to Statistical Methods and Data Analysis-Cengage (2016).pdf - Adobe Reader File Edit View Window Help 210 (223 of 1179) 150% Comment Share four numbers? Bookmarks b. Which of the probability approaches (subjective, classical, or relative frequency) did you employ in obtaining your answer in part (a)? P Contents P Preface +W Statistics & 4.3 Basic Event Relations and Probability Laws Scientific Method Basic 4.10 A die is rolled two times. Provide a list of the possible outcomes of the two rolls in this ET Surveys & Experimental Studies to gather form: the result from the first roll and the result from the second roll. 4.11 Refer to Exercise 4.10. Assume that the die is a fair die, that is, each of the outcomes has a probability of 1/36. What is the probability of observing Basic Data Y Data Description ET Probability & a. Event A: Exactly one dot appears on each of the two upturned faces? b. Event B:The sum of the dots on the two upturned faces is exactly 4? c. Event C:The sum of the dots on the two upturned faces is at most 4? Probability Distributions Basic 4.12 Refer to Exercise 4.11. E P Inferences about a. Describe the event that is the complement of event A. b. Compute the complement of event A. Population Central Values EP Inferences Basic 4.13 Refer to Exercise 4.11. Comparing 2 Population Central Values a. Are events A and B mutually exclusive? b. Are events A and C mutually exclusive? c. Are events B and C mutually exclusive? + P Inferences about Bus. 4.14 A credit union takes a sample of four mortgages each month to survey the homeowners' satisfaction with the credit union's servicing of their mortgage. Each mortgage is classified as a fixed rate (F) or variable rate (V). Population Variances + P Inferences about more than 2 a. What are the 16 possible combinations of the four mortgages? Hint: One such Population Central Values 8.00 x 10.00 in ENG 12:55 PM P Type here to search 90°F IN 9/15/2021
2 R. Lyman Ott, Michael Longnecker - An Introduction to Statistical Methods and Data Analysis-Cengage (2016).pdf - Adobe Reader File Edit View Window Help 211 (224 of 1179) 125% Comment Share c. What is the probability that an Asian donor will have either Type A or Type B Bookmarks blood? d. What is the probability that a donor will have neither Type A nor Type AB blood? 4.17 The makers of the candy M&Ms report that their plain M&Ms are composed of 15% yellow, 10% red, 20% orange, 25% blue, 15% green, and 15% brown. If you randomly select an W Contents P Preface M&M, what is the probability of the following? a. It is brown. b. It is red or green. c. It is not blue. d. It is both red and brown. +W Statistics & Scientific Method ET Surveys & Experimental Studies to gather Data 4.4 Conditional Probability and Independence + P Data Description ET Probability & Bus. 4.18 Refer to Exercise 4.11. Compute the following probabilities: а. Р(A|B) b. P(A|C) с. Р(B|C) 4.19 Refer to Exercise 4.11. Probability Distributions +P Inferences about Baslc Population Central a. Are the events A and B independent? Why or why not? b. Are the events A and Cindependent? Why or why not? c. Are the events B and C independent? Why or why not? Values EP Inferences Comparing 2 Population Central Values Baslc 4.20 Refer to Exercise 4.14. a. Are the events A and B independent? Justify your answer. b. Are the events A and C independent? Justify your answer. c. Are the events A and D independent? Justify your answer. d. Which pair(s) of the events are mutually exclusive: (A, B), (B, C.), and/or (A, C)? Justify your answer. +P Inferences about Population Variances + P Inferences about more than 2 Population Central Values ENG 5:49 PM P Type here to search 后 ) IN 93°F 9/15/2021 近
Transcribed Image Text:2 R. Lyman Ott, Michael Longnecker - An Introduction to Statistical Methods and Data Analysis-Cengage (2016).pdf - Adobe Reader File Edit View Window Help 211 (224 of 1179) 125% Comment Share c. What is the probability that an Asian donor will have either Type A or Type B Bookmarks blood? d. What is the probability that a donor will have neither Type A nor Type AB blood? 4.17 The makers of the candy M&Ms report that their plain M&Ms are composed of 15% yellow, 10% red, 20% orange, 25% blue, 15% green, and 15% brown. If you randomly select an W Contents P Preface M&M, what is the probability of the following? a. It is brown. b. It is red or green. c. It is not blue. d. It is both red and brown. +W Statistics & Scientific Method ET Surveys & Experimental Studies to gather Data 4.4 Conditional Probability and Independence + P Data Description ET Probability & Bus. 4.18 Refer to Exercise 4.11. Compute the following probabilities: а. Р(A|B) b. P(A|C) с. Р(B|C) 4.19 Refer to Exercise 4.11. Probability Distributions +P Inferences about Baslc Population Central a. Are the events A and B independent? Why or why not? b. Are the events A and Cindependent? Why or why not? c. Are the events B and C independent? Why or why not? Values EP Inferences Comparing 2 Population Central Values Baslc 4.20 Refer to Exercise 4.14. a. Are the events A and B independent? Justify your answer. b. Are the events A and C independent? Justify your answer. c. Are the events A and D independent? Justify your answer. d. Which pair(s) of the events are mutually exclusive: (A, B), (B, C.), and/or (A, C)? Justify your answer. +P Inferences about Population Variances + P Inferences about more than 2 Population Central Values ENG 5:49 PM P Type here to search 后 ) IN 93°F 9/15/2021 近
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