) 8.517 (B) 7.947 (C) -6.170 (D) 1.823   To classify this individual, we note that since C0(4,5) > C1(4,5), we classify this individual into Group 0, that is, we predict that this individual will not buy.   3. What is this person's posterior probability P1 of membership in the 'Buy' group? P1 = exp(C1)/[exp(C0)+exp(C1)] = exp(7.947)/[exp(7.947)+exp(8.517)] = 1/[1+exp(8.517− 7.947)] = 1/[1 + exp(0.570)] = ? (A) .747 (B) .570 (C) .361 (D) .639 4. What is this person's posterior probability of membership in the "Not Buy" group ? (A) .747 (B) .570 (C) .

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Notation: For groups k = 0, 1, let C Fk (d, p) denote the value of the classification function

for Group k, given Durability = d and Performance = p.


What are the values of the two classification functions for an individual giving the food mixer

a Durability rating of d = 4 and a Performance rating of p = 5?

 

1. For Group 0: CF0(4, 5) = ? C0(d, p) = −6.170 + 1.823d + 1.479p; C(4, 5) = −6.170 + 1.823(4) + 1.479(5) =?
(A) 8.517 (B) 7.947 (C) -6.170 (D) 1.823

 

2. For Group 1: CF1(4, 5) = ? C1(d, p) = −25.619 + 5.309d + 2.466p; C(4, 5) = −25.619 + 5.309(4) + 2.466(5) = ?
(A) 8.517 (B) 7.947 (C) -6.170 (D) 1.823

 

To classify this individual, we note that since C0(4,5) > C1(4,5), we classify this individual into Group 0, that is, we predict that this individual will not buy.

 

3. What is this person's posterior probability P1 of membership in the 'Buy' group?

P1 = exp(C1)/[exp(C0)+exp(C1)] = exp(7.947)/[exp(7.947)+exp(8.517)] = 1/[1+exp(8.517− 7.947)] = 1/[1 + exp(0.570)] = ?

(A) .747 (B) .570 (C) .361 (D) .639


4. What is this person's posterior probability of membership in the "Not Buy" group ? (A) .747 (B) .570 (C) .361 (D) .639

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