MAS 1107 M3 Problem Set 3 Introduction to Statistics 2021

1/28/2021 M3: Problem Set 3: Introduction to Statistics- Lagios


M3: Problem Set 3
Due No due date Points 0 Questions 3 Time Limit None



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Submitted Aug 27, 2020 at 2:23pm
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Question 1 pts



During the last year, Labrador Retriever Dogs were produced in a city by
three breeders:

57 % from Breeder A; 18 % from Breeder B; 25 % from Breeder C.

It has been found that 7.5 % of the dogs from Breeder A, 12 % of the dogs
from Breeder B, and 40 % of the dogs from Breeder C have a specific
genetic defect. Suppose you get one of these dogs and find that the dog
has this specific genetic defect, what is the probability the dog came from
Breeder C?


Your Answer:




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, 1/28/2021 M3: Problem Set 3: Introduction to Statistics- Lagios

P(A)=57% P(B)=18%
P(C)=25% P(D/A)=7.5%
P(D/B)=12% P(D/C)=40%




Solution.

During the last year, Labrador Retriever Dogs were produced
in a city by three breeders:

57 % from Breeder A; 18 % from Breeder B; 25 % from Breeder
C.

It has been found that 7.5 % of the dogs from Breeder A, 12 %
of the dogs from Breeder B, and 40 % of the dogs from
Breeder C have a specific genetic defect. Suppose you get
one of these dogs and find that the dog has this specific
genetic defect, what is the probability the dog came from
Breeder C?

If we use Def to designate “defect”.



We are told that given that a dog came from breeder A, the
probability that it has a defect is: P(Def | A) = .075.



We are told that given that a dog came from breeder B, the
probability that it has a defect is:P(Def | B) = .12.



We are told that given that a dog came from breeder C, the
probability that it has a defect is:P (Def | C) =.40.



Furthermore, we are told that the probability that a dog came from
breeders A,B, and C, are respectively:



P (A) = .57, P (B) =.18, P(C) =.25.
This study source was downloaded by 100000832361371 from CourseHero.com on 04-14-2022 23:27:46 GMT -05:00

https://portagelearning.instructure.com/courses/169/quizzes/6685?module_item_id=18019 2/7
https://www.coursehero.com/file/79208500/M3-Problem-Set-3-Introduction-to-Statisticspdf/