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")?

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

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Question

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(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")?

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