A survey of grocery store customers concerning their purchasing habits for three brands of breakfast cereal labelled B1, B2 and B3 was carried out. Each customer was asked if they had purchased each of the brands within the last two years, and the total counts of response patterns were recorded. The results are displayed in the following table: Y indicates that the brand had been purchased, N indicates that the brand had not been purchased: That is, 28 had purchased none of the brands, 24 had purchased B2 and B3, but not B1 etc. A customer is selected from the survey participants, with all customers equally likely to be selected. Compute the probability that the customer had, in the last two years, (a) purchased brand B1 (b) purchased brand B1 and brand B3, but not brand B2; (c) purchased at least two of the brands
A survey of grocery store customers concerning their purchasing habits for three brands of breakfast cereal labelled B1, B2 and B3 was carried out. Each customer was asked if they had purchased each of the brands within the last two years, and the total counts of response patterns were recorded. The results are displayed in the following table: Y indicates that the brand had been purchased, N indicates that the brand had not been purchased: That is, 28 had purchased none of the brands, 24 had purchased B2 and B3, but not B1 etc. A customer is selected from the survey participants, with all customers equally likely to be selected. Compute the probability that the customer had, in the last two years, (a) purchased brand B1 (b) purchased brand B1 and brand B3, but not brand B2; (c) purchased at least two of the brands
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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A survey of grocery store customers concerning their purchasing habits for three brands of breakfast cereal labelled B1, B2 and B3 was carried out. Each customer was asked if they had purchased each of the brands within the last two years, and the total counts of response patterns were recorded.
The results are displayed in the following table: Y indicates that the brand had been purchased, N indicates that the brand had not been purchased:
That is, 28 had purchased none of the brands, 24 had purchased B2 and B3, but not B1 etc.
A customer is selected from the survey participants, with all customers equally likely to be selected. Compute
the probability that the customer had, in the last two years,
(a) purchased brand B1
(b) purchased brand B1 and brand B3, but not brand B2;
(c) purchased at least two of the brands;
Transcribed Image Text:В, Ва Вз Count
28
19
27
22
N
Y
N
Y
Y
N
N
N
N
Y
Y
24
28
Y N Y
Y
Y
Y
Y
N
Y
29
32
Total
209
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