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QUESTION 2 Banila Co. selected 1,000 young adults at random and surveyed them to determine a relationship between the monthly spending on skincare products and the age of the customers. The survey findings are reported in the table below. Age Monthly spending ($) 20s 30s $0.00 - $49.99 $50.00 - $99.99 $100.00 - $149.99 $150.00 - $199.99 $200.00 - $249.99 $250.00 or more Total customers 75 91 29 83 113 90 89 128 63 159 34 465 46 535 a. What is the probability that a customer is in his/her 20s? b. What is the probability that a customer spends at least $150.00 and is in his/her 30s? c. What is the probability that a customer spends at least $150.00 or is in his/her 30s? d. Given that a customer is in his/her 20s, what is the probability that he/she spends less than $100.00? e. Given that a customer spends $200.00 or more, what is the probability that he/she is in his/her 30s? f. Are the events "age of 20s" and "monthly spending of $250.00 or more" mutually exclusive? Explain using probabilities. E. Are the events "age of 30s" and "monthly spending of $250.00 or more" independent? Explain using probabilities.

QUESTION 2 Banila Co. selected 1,000 young adults at random and surveyed them to determine a relationship between the monthly spending on skincare products and the age of the customers. The survey findings are reported in the table below. Age Monthly spending ($) 20s 30s $0.00 - $49.99 $50.00 - $99.99 $100.00 - $149.99 $150.00 - $199.99 $200.00 - $249.99 $250.00 or more Total customers 75 91 29 83 113 90 89 128 63 159 34 465 46 535 a. What is the probability that a customer is in his/her 20s? b. What is the probability that a customer spends at least $150.00 and is in his/her 30s? c. What is the probability that a customer spends at least $150.00 or is in his/her 30s? d. Given that a customer is in his/her 20s, what is the probability that he/she spends less than $100.00? e. Given that a customer spends $200.00 or more, what is the probability that he/she is in his/her 30s? f. Are the events "age of 20s" and "monthly spending of $250.00 or more" mutually exclusive? Explain using probabilities. E. Are the events "age of 30s" and "monthly spending of $250.00 or more" independent? Explain using probabilities.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 51RE
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g. Are the events “age of 30s” and “monthly spending of $250.00 or more” independent?

Explain using probabilities.

Document1 - Word 困 File Home Insert Design Layout References Mailings Review View Acrobat O Tell me what you want to do. & Share O Find - X Cut e Copy Calibri (Body) - 11 A A Aa - AaBbCcDd AaBbCcDd AaBbC AABBCCD AaB AaBbCcD AaBbCcDd AaBbCcDd ac Replace A Select - Paste I U - abe Xx, x A - ay - A A - H - I Normal 1 No Spac. Heading 1 Heading 2 Subtle Em.. Emphasis Create and Share Request Title Subtitle * Format Painter Adobe PDF Signatures Clipboard Font Paragraph Styles Editing Adobe Acrobat QUESTION 2 Banila Co. selected 1,000 young adults at random and surveyed them to determine a relationship between the monthly spending on skincare products and the age of the customers. The survey findings are reported in the table below. Age Monthly spending ($) 20s 30s 75 $0.00 - $49.99 $50.00 - $99.99 $100.00 - $149.99 $150.00 - $199.99 $200.00 - $249.99 29 91 83 113 90 89 128 63 159 $250.00 or more 34 46 Total customers 465 535 a. What is the probability that a customer is in his/her 20s? b. What is the probability that a customer spends at least $150.00 and is in his/her 30s? c. What is the probability that a customer spends at least $150.00 or is in his/her 30s? d. Given that a customer is in his/her 20s, what is the probability that he/she spends less than $100.00? e. Given that a customer spends $200.00 or more, what is the probability that he/she is in his/her 30s? f. Are the events "age of 20s" and "monthly spending of $250.00 or more" mutually exclusive? Explain using probabilities. g. Are the events "age of 30s" and "monthly spending of $250.00 or more" independent? Explain using probabilities. Page 2 of 2 253 words 100% 1:17 AM IMI 5/12/2021
Transcribed Image Text:Document1 - Word 困 File Home Insert Design Layout References Mailings Review View Acrobat O Tell me what you want to do. & Share O Find - X Cut e Copy Calibri (Body) - 11 A A Aa - AaBbCcDd AaBbCcDd AaBbC AABBCCD AaB AaBbCcD AaBbCcDd AaBbCcDd ac Replace A Select - Paste I U - abe Xx, x A - ay - A A - H - I Normal 1 No Spac. Heading 1 Heading 2 Subtle Em.. Emphasis Create and Share Request Title Subtitle * Format Painter Adobe PDF Signatures Clipboard Font Paragraph Styles Editing Adobe Acrobat QUESTION 2 Banila Co. selected 1,000 young adults at random and surveyed them to determine a relationship between the monthly spending on skincare products and the age of the customers. The survey findings are reported in the table below. Age Monthly spending ($) 20s 30s 75 $0.00 - $49.99 $50.00 - $99.99 $100.00 - $149.99 $150.00 - $199.99 $200.00 - $249.99 29 91 83 113 90 89 128 63 159 $250.00 or more 34 46 Total customers 465 535 a. What is the probability that a customer is in his/her 20s? b. What is the probability that a customer spends at least $150.00 and is in his/her 30s? c. What is the probability that a customer spends at least $150.00 or is in his/her 30s? d. Given that a customer is in his/her 20s, what is the probability that he/she spends less than $100.00? e. Given that a customer spends $200.00 or more, what is the probability that he/she is in his/her 30s? f. Are the events "age of 20s" and "monthly spending of $250.00 or more" mutually exclusive? Explain using probabilities. g. Are the events "age of 30s" and "monthly spending of $250.00 or more" independent? Explain using probabilities. Page 2 of 2 253 words 100% 1:17 AM IMI 5/12/2021
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