33. A market research firm is investigating the appeal of three package designs. The table below gives information obtained through a sample of 200 consumers. The three package designs are labeled A, B, and C. The consumers are classified according to age and package design preference. Are "B" and "25 or older" independent and why or why not? A Total Under 25 years 22 34 40 96 25 or older 54 28 22 104 Total 76 62 62 200 no, because P(25 or over | B) is not equal to P(B) O yes, because P(B) = P(C) O no, because P(25 or older B) is not equal to P(25 or older) O yes, because P(25 or older N B) is not equal to 0
33. A market research firm is investigating the appeal of three package designs. The table below gives information obtained through a sample of 200 consumers. The three package designs are labeled A, B, and C. The consumers are classified according to age and package design preference. Are "B" and "25 or older" independent and why or why not? A Total Under 25 years 22 34 40 96 25 or older 54 28 22 104 Total 76 62 62 200 no, because P(25 or over | B) is not equal to P(B) O yes, because P(B) = P(C) O no, because P(25 or older B) is not equal to P(25 or older) O yes, because P(25 or older N B) is not equal to 0
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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Transcribed Image Text:33. A market research firm is investigating the appeal of three package
designs. The table below gives information obtained through a sample of
200 consumers. The three package designs are labeled A, B, and C. The
consumers are classified according to age and package design preference.
Are "B" and "25 or older" independent and why or why not?
В
Total
Under 25
22
34
40
96
years
25 or older
54
28
22
104
Total
76
62
62
200
no, because P(25 or over | B) is not equal to P(B)
O yes, because P(B) = P(C)
O no, because P(25 or older B) is not equal to P(25 or older)
O yes, because P(25 or older N B) is not equal to 0
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