Making an informed decision – Should we convict? A woman who was shopping in Los Angeles had her purse stolen by a young, blonde female who was wearing a ponytail. The blonde female got into a yellow car that was driven by a man with a mustache and a beard. The police located a blonde female named Janet who wore her hair in a ponytail and had a male friend who had a mustache and beard and also drove a yellow car. Based on this evidence the police arrested the two suspects. Because there were no eyewitnesses and no real evidence, the prosecution used probability to make its case against the defendants. The probabilities listed below were presented by the prosecution for the known characteristics of the thieves. Probability 1/10 Characteristic Yellow car Man with mustache 1/4 Woman with ponytail 1/10 Woman with blonde hair 1/3 Man with beard 1/10 Interracial couple in a car 1/1000 (a) Assuming that the characteristics listed above are independent of each other, what is the probability that a randomly selected couple has all these characteristics? That is what is, calculate the probability: P( "yellow car" and "man w/ mustache, beard and . "interracial couple in car")?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
(b) Based on the above result would you convict the defendant? Explain thoroughly.
Transcribed Image Text:(b) Based on the above result would you convict the defendant? Explain thoroughly.
Making an informed decision – Should we convict?
A woman who was shopping in Los Angeles had her purse stolen by a young, blonde female who was wearing
a ponytail. The blonde female got into a yellow car that was driven by a man with a mustache and a beard. The
police located a blonde female named Janet who wore her hair in a ponytail and had a male friend who had a
mustache and beard and also drove a yellow car. Based on this evidence the police arrested the two suspects.
Because there were no eyewitnesses and no real evidence, the prosecution used probability to make its case
against the defendants. The probabilities listed below were presented by the prosecution for the known
characteristics of the thieves.
Characteristic
Probability
Yellow car
1/10
Man with mustache
1/4
Woman with ponytail
1/10
Woman with blonde hair
1/3
Man with beard
Interracial couple in a car
1/10
1/1000
(a) Assuming that the characteristics listed above are independent of each other, what is the probability that
a randomly selected couple has all these characteristics? That is what is, calculate the probability:
P( "yellow car" and "man w/ mustache, beard and . "interracial couple in car")?
Transcribed Image Text:Making an informed decision – Should we convict? A woman who was shopping in Los Angeles had her purse stolen by a young, blonde female who was wearing a ponytail. The blonde female got into a yellow car that was driven by a man with a mustache and a beard. The police located a blonde female named Janet who wore her hair in a ponytail and had a male friend who had a mustache and beard and also drove a yellow car. Based on this evidence the police arrested the two suspects. Because there were no eyewitnesses and no real evidence, the prosecution used probability to make its case against the defendants. The probabilities listed below were presented by the prosecution for the known characteristics of the thieves. Characteristic Probability Yellow car 1/10 Man with mustache 1/4 Woman with ponytail 1/10 Woman with blonde hair 1/3 Man with beard Interracial couple in a car 1/10 1/1000 (a) Assuming that the characteristics listed above are independent of each other, what is the probability that a randomly selected couple has all these characteristics? That is what is, calculate the probability: P( "yellow car" and "man w/ mustache, beard and . "interracial couple in car")?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Research Ethics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman