The manager of a used car lot took inventory of the automobiles on his lot and constructed the followingtable based on the age of each car and its make (foreign or domestic):Age of Car (in years)6 - 10Make0-23-5over 10TotalForcignDomestic3929141810045241021100Total84532439200A car was randomly selected from the lot. Given that the car selected was a foreign car, what is theprobability that it was older than 2 years old?61A)100613939D)116B)T16100

Name: The manager of a used car lot took inventory of the automobiles on hi
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Description: The manager of a used car lot took inventory of the automobiles on his lot and constructed the followingtable based on the age of each car and its make (foreign or domestic):Age of Car (in years)6 - 10Make0-23-5over 10TotalForcignDomestic39291418100

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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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The manager of a used car lot took inventory of the automobiles on his lot and constructed the following
table based on the age of each car and its make (foreign or domestic):
Age of Car (in years)
6 - 10
Make
0-2
3-5
over 10
Total
Forcign
Domestic
39
29
14
18
100
45
24
10
21
100
Total
84
53
24
39
200
A car was randomly selected from the lot. Given that the car selected was a foreign car, what is the
probability that it was older than 2 years old?
61
A)
100
61
39
39
D)
116
B)
T16
100

Expert Solution

Step 1

Given information:

Total number of cars in lot = 200

Number of foreign cars = 100

$\begin{array}{rcl} Number of foreign cars and older than 2 years old & = & 29 + 14 + 18 \\ = & 61 \end{array}$

Use the formula for conditional probability to determine the required probability:

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