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. Monthly spending ($) Age 20s 75 91 30s $0.00 - 549.99 $50.00 - $99.99 29 83 90 113 $100.00 - $149.99 $150.00 - $199.99 $200.00 - $249.99 $250.00 or more Total customers 89 128 63 34 465 159 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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 16E
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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
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 $250.00 or more" independent?
Explain using probabilities.
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Transcribed Image Text:Document1 - Word 困 File Home Insert Design Layout References Mailings Review View Acrobat O Tell me what you want to do. & Share O Find - X Cut e Copy Calibri (Body) - 11 A A Aa - AaBbCcDd AaBbCcDd AaBbC AABBCCD AaB AaBbCcD AaBbCcDd AaBbCcDd ac Replace A Select - Paste I U - abe Xx, x A - ay - A A - H - I Normal 1 No Spac. Heading 1 Heading 2 Subtle Em.. Emphasis Create and Share Request Title Subtitle * Format Painter Adobe PDF Signatures Clipboard Font Paragraph Styles Editing Adobe Acrobat QUESTION 2 Banila Co. selected 1,000 young adults at random and surveyed them to determine a relationship between the monthly spending on skincare products and the age of the customers. The survey findings are reported in the table below. Age Monthly spending ($) 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 $250.00 or more" independent? Explain using probabilities. Page 2 of 2 253 words 100% 1:17 AM IMI 5/12/2021
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O Find -
Calibri (Body) - 11
A A Aa -
AaBbCcDd AaBbCcDd AaBbC AABBCCC AaB AaBbCcD AaBbCcDd AaBbCcDd
ab
自Copy
Sac Replace
A Select -
Create and Share Request
Signatures
Paste
I U - abe x, x A - ay - A
I Normal
1 No Spac. Heading 1 Heading 2
Title
Subtitle
Subtle Em.. Emphasis
V Format Painter
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QUESTION 1
File: F&B. The following table shows a portion of the advertising cost incurred ($'000) and
weekly sales ($'000) for top 50 food and beverage companies in the United States for the year
2020.
F&B Company
Advertising cost ($'000)
Weekly sales ($'000)
PepsiCo Inc.
82
440
Tyson Foods Inc.
75
69
Kraft Heinz Co.
95
128
..
Wells Enterprises Inc.
3
a. Determine the 5 summary values and construct a boxplot for advertising cost ($'000). Use
it to identify outliers, if any.
b. Determine the 5 summary values and construct a boxplot for weekly sales ($'000). Use it
to identify outliers, if any.
c. Calculate and interpret the sample correlation coefficient between advertising cost ($'000)
and weekly sales ($'000).
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D ロ)
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Transcribed Image Text:Document1 - Word 困 File Home Insert Design Layout References Mailings Review View Acrobat O Tell me what you want to do. & Share X Cut O Find - Calibri (Body) - 11 A A Aa - AaBbCcDd AaBbCcDd AaBbC AABBCCC AaB AaBbCcD AaBbCcDd AaBbCcDd ab 自Copy Sac Replace A Select - Create and Share Request Signatures Paste I U - abe x, x A - ay - A I Normal 1 No Spac. Heading 1 Heading 2 Title Subtitle Subtle Em.. Emphasis V Format Painter Adobe PDF Clipboard Font Paragraph Styles Editing Adobe Acrobat QUESTION 1 File: F&B. The following table shows a portion of the advertising cost incurred ($'000) and weekly sales ($'000) for top 50 food and beverage companies in the United States for the year 2020. F&B Company Advertising cost ($'000) Weekly sales ($'000) PepsiCo Inc. 82 440 Tyson Foods Inc. 75 69 Kraft Heinz Co. 95 128 .. Wells Enterprises Inc. 3 a. Determine the 5 summary values and construct a boxplot for advertising cost ($'000). Use it to identify outliers, if any. b. Determine the 5 summary values and construct a boxplot for weekly sales ($'000). Use it to identify outliers, if any. c. Calculate and interpret the sample correlation coefficient between advertising cost ($'000) and weekly sales ($'000). Page 1 of 2 253 words 目 100% 1:08 AM D ロ) IMI 5/12/2021
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage