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5. For this problem, be sure to show your calculations in addition to your final answer. Use the methods that are shown in the class videos and readings. A Pew Research study from September 2021 asserts that 44% of American adults found text messaging to be very helpful in staying connected with friends and family since the beginning of the Coronavirus outbreak. They also asserted that 38% of American adults found voice calls to be very helpful in staying connected during that time. Suppose that this is true and that 23% of American adults found both text messaging and voice calls to be very helpful in staying connected during that time. a. If one American adult is randomly selected, what is the probability that they did not find either of the above methods to be very helpful in staying connected during that time? b. If three American adults are randomly selected, what is the probability that all three found text messaging to be very helpful in staying connected? c. Out of the American adults that found text messaging to be helpful, what is the probability that they would also find voice calls to be helpful? (Note the wording for this problem.) d. With this information, does it seem that finding text messaging helpful in staying connected and finding voice calls helpful are independent events? Answer "yes" or "no", and explain clearly, including supporting calculations or reasoning.

5. For this problem, be sure to show your calculations in addition to your final answer. Use the methods that are shown in the class videos and readings. A Pew Research study from September 2021 asserts that 44% of American adults found text messaging to be very helpful in staying connected with friends and family since the beginning of the Coronavirus outbreak. They also asserted that 38% of American adults found voice calls to be very helpful in staying connected during that time. Suppose that this is true and that 23% of American adults found both text messaging and voice calls to be very helpful in staying connected during that time. a. If one American adult is randomly selected, what is the probability that they did not find either of the above methods to be very helpful in staying connected during that time? b. If three American adults are randomly selected, what is the probability that all three found text messaging to be very helpful in staying connected? c. Out of the American adults that found text messaging to be helpful, what is the probability that they would also find voice calls to be helpful? (Note the wording for this problem.) d. With this information, does it seem that finding text messaging helpful in staying connected and finding voice calls helpful are independent events? Answer "yes" or "no", and explain clearly, including supporting calculations or reasoning.

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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5. For this problem, be sure to show your calculations in addition to your final answer. Use the methods that are shown in the class videos and readings. A Pew Research study from September 2021 asserts that 44% of American adults found text messaging to be very helpful in staying connected with friends and family since the beginning of the Coronavirus outbreak. They also asserted that 38% of American adults found voice calls to be very helpful in staying connected during that time. Suppose that this is true and that 23% of American adults found both text messaging and voice calls to be very helpful in staying connected during that time. a. If one American adult is randomly selected, what is the probability that they did not find either of the above methods to be very helpful in staying connected during that time? b. If three American adults are randomly selected, what is the probability that all three found text messaging to be very helpful in staying connected? c. Out of the American adults that found text messaging to be helpful, what is the probability that they would also find voice calls to be helpful? (Note the wording for this problem.) d. With this information, does it seem that finding text messaging helpful in staying connected and finding voice calls helpful are independent events? Answer "yes" or "no", and explain clearly, including supporting calculations or reasoning.
Transcribed Image Text:5. For this problem, be sure to show your calculations in addition to your final answer. Use the methods that are shown in the class videos and readings. A Pew Research study from September 2021 asserts that 44% of American adults found text messaging to be very helpful in staying connected with friends and family since the beginning of the Coronavirus outbreak. They also asserted that 38% of American adults found voice calls to be very helpful in staying connected during that time. Suppose that this is true and that 23% of American adults found both text messaging and voice calls to be very helpful in staying connected during that time. a. If one American adult is randomly selected, what is the probability that they did not find either of the above methods to be very helpful in staying connected during that time? b. If three American adults are randomly selected, what is the probability that all three found text messaging to be very helpful in staying connected? c. Out of the American adults that found text messaging to be helpful, what is the probability that they would also find voice calls to be helpful? (Note the wording for this problem.) d. With this information, does it seem that finding text messaging helpful in staying connected and finding voice calls helpful are independent events? Answer "yes" or "no", and explain clearly, including supporting calculations or reasoning.
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