A highway agent sampled cars going from one state to a neighboring state. In his​ report, he indicated that of the 78 cars​ sampled, 27 cars were driven by​ women, 53 cars were​ sport-utility vehicles, 37 cars had two or more​ passengers, 24 cars were driven by women in​ sport-utility ve

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A highway agent sampled cars going from one state to a neighboring state. In his​ report, he indicated that of the

78

cars​ sampled,

27

cars were driven by​ women,

53

cars were​ sport-utility vehicles,

37

cars had two or more​ passengers,

24

cars were driven by women in​ sport-utility vehicles,

21

cars were driven by women and had two or more​ passengers,

18

cars were​ sport-utility vehicles and had two or more​ passengers, and

13

cars were driven by women in​ sport-utility vehicles and had two or more passengers. After his supervisor reads the​ report, she explains to the agent that he made a mistake. 

 

A. The​ agent's last four statements indicate that at least
_________
cars were driven by women. This contradicts the​ agent's first​ statement, which says that only
27
such cars were seen.
 
B.
The​ agent's last four statements indicate that at least
______
cars were​ sport-utility vehicles. This contradicts the​ agent's second​ statement, which says that only
53
such cars were seen.
 
C.
The​ agent's first three statements indicate that at least
__________
cars were driven by women in​ sport-utility vehicles and had two or more passengers. This contradicts the​ agent's seventh​ statement, which says that only
13
such cars were seen.
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