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etermine whether the events E and F are independent or dependent. Justify your answer. ..... a) E: A person living at least 70 years. F: The same person regularly handling venomous snakes. OA. E and Fare independent because regularly handling venomous snakes has no effect on the probability of a person living at least 70 years. O B. E and Fare dependent because living at least 70 years has no effect on the probability of a person regularly handling venomous snakes. )C. E and Fare dependent because regularly handling venomous snakes can affect the probability of a person living at least 70 years. O D. E and F are independent because living at least 70 years has no effect on the probability of a person regularly handling venomous snakes. b) E: A randomly selected person planting tulip bulbs in October. F: A different randomly selected person planting tulip bulbs in April. OA. E cannot affect F and vice versa because the people were randomly selected, so the events are independent. OB. E can affect the probability of F because the people were randomly selected, so the events are dependent. OC. E cannot affect F because "person 1 planting tulip bulbs in October" could never occur, so the events are neither dependent nor independent. ) D. E can affect the probability of F, even if the two people are randomly selected, so the events are dependent. c) E: The consumer demand for synthetic diamonds. F: The amount of research funding for diamond synthesis. OA. The consumer demand for synthetic diamonds could affect the amount of research funding for diamond synthesis, so E and F are dependent. O B. The consumer demand for synthetic diamonds could not affect the amount of research funding for diamond synthesis, so E and F are independent. ) C. The amount of research funding for diamond synthesis could affect the consumer demand for synthetic diamonds, so E and F are dependent.

etermine whether the events E and F are independent or dependent. Justify your answer. ..... a) E: A person living at least 70 years. F: The same person regularly handling venomous snakes. OA. E and Fare independent because regularly handling venomous snakes has no effect on the probability of a person living at least 70 years. O B. E and Fare dependent because living at least 70 years has no effect on the probability of a person regularly handling venomous snakes. )C. E and Fare dependent because regularly handling venomous snakes can affect the probability of a person living at least 70 years. O D. E and F are independent because living at least 70 years has no effect on the probability of a person regularly handling venomous snakes. b) E: A randomly selected person planting tulip bulbs in October. F: A different randomly selected person planting tulip bulbs in April. OA. E cannot affect F and vice versa because the people were randomly selected, so the events are independent. OB. E can affect the probability of F because the people were randomly selected, so the events are dependent. OC. E cannot affect F because "person 1 planting tulip bulbs in October" could never occur, so the events are neither dependent nor independent. ) D. E can affect the probability of F, even if the two people are randomly selected, so the events are dependent. c) E: The consumer demand for synthetic diamonds. F: The amount of research funding for diamond synthesis. OA. The consumer demand for synthetic diamonds could affect the amount of research funding for diamond synthesis, so E and F are dependent. O B. The consumer demand for synthetic diamonds could not affect the amount of research funding for diamond synthesis, so E and F are independent. ) C. The amount of research funding for diamond synthesis could affect the consumer demand for synthetic diamonds, so E and F are dependent.

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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**Determine whether the events E and F are independent or dependent. Justify your answer.** --- **(a)** - **E:** A person living at least 70 years. - **F:** The same person regularly handling venomous snakes. - **A.** E and F are independent because regularly handling venomous snakes has no effect on the probability of a person living at least 70 years. - **B.** E and F are dependent because living at least 70 years has no effect on the probability of a person regularly handling venomous snakes. - **C.** E and F are dependent because regularly handling venomous snakes can affect the probability of a person living at least 70 years. - **D.** E and F are independent because living at least 70 years has no effect on the probability of a person regularly handling venomous snakes. --- **(b)** - **E:** A randomly selected person planting tulip bulbs in October. - **F:** A different randomly selected person planting tulip bulbs in April. - **A.** E cannot affect F and vice versa because the people were randomly selected, so the events are independent. - **B.** E can affect the probability of F because the people were randomly selected, so the events are dependent. - **C.** E cannot affect F because "person 1 planting tulip bulbs in October" could never occur, so the events are neither dependent nor independent. - **D.** E can affect the probability of F, even if the two people are randomly selected, so the events are dependent. --- **(c)** - **E:** The consumer demand for synthetic diamonds. - **F:** The amount of research funding for diamond synthesis. - **A.** The consumer demand for synthetic diamonds could affect the amount of research funding for diamond synthesis, so E and F are dependent. - **B.** The consumer demand for synthetic diamonds could not affect the amount of research funding for diamond synthesis, so E and F are independent. - **C.** The amount of research funding for diamond synthesis could affect the consumer demand for synthetic diamonds, so E and F are dependent. ---
Transcribed Image Text:**Determine whether the events E and F are independent or dependent. Justify your answer.** --- **(a)** - **E:** A person living at least 70 years. - **F:** The same person regularly handling venomous snakes. - **A.** E and F are independent because regularly handling venomous snakes has no effect on the probability of a person living at least 70 years. - **B.** E and F are dependent because living at least 70 years has no effect on the probability of a person regularly handling venomous snakes. - **C.** E and F are dependent because regularly handling venomous snakes can affect the probability of a person living at least 70 years. - **D.** E and F are independent because living at least 70 years has no effect on the probability of a person regularly handling venomous snakes. --- **(b)** - **E:** A randomly selected person planting tulip bulbs in October. - **F:** A different randomly selected person planting tulip bulbs in April. - **A.** E cannot affect F and vice versa because the people were randomly selected, so the events are independent. - **B.** E can affect the probability of F because the people were randomly selected, so the events are dependent. - **C.** E cannot affect F because "person 1 planting tulip bulbs in October" could never occur, so the events are neither dependent nor independent. - **D.** E can affect the probability of F, even if the two people are randomly selected, so the events are dependent. --- **(c)** - **E:** The consumer demand for synthetic diamonds. - **F:** The amount of research funding for diamond synthesis. - **A.** The consumer demand for synthetic diamonds could affect the amount of research funding for diamond synthesis, so E and F are dependent. - **B.** The consumer demand for synthetic diamonds could not affect the amount of research funding for diamond synthesis, so E and F are independent. - **C.** The amount of research funding for diamond synthesis could affect the consumer demand for synthetic diamonds, so E and F are dependent. ---
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