Figures obtained from a city's police department seem to indicate that of all motor vehicles reported as stolen, 69% were stolen by professionals (P), whereas 31% were stolen by amateurs (primarily for joy rides) (A). Of the vehicles presumed stolen by professionals, 21% were recovered within 48 hours (R<48), 15% were recovered after 48 hours (R>48), and 64% were never recovered (N). Of the vehicles presumed stolen by amateurs, 44% were recovered within 48 hours, 51% were recovered after 48 hours, and 5% were never recovered. (a) Draw a tree diagram representing the data. Re48 R48 O Re48 R48 ON R48 Re48 N Rc48 R48 (b) What is the probability that a vehicle stolen by a professional in this city will be recovered within 48 hours? 65 (c) What is the probability that a vehicle stolen in this city will never be recovered? (Round your answer to four decimal places.) 69

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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Figures obtained from a city's police department seem to indicate that of all motor vehicles reported as stolen, 69% were stolen by professionals (P), whereas 31% were stolen by amateurs (primarily for joy rides) (A). Of
the vehicles presumed stolen by professionals, 21% were recovered within 48 hours (R<48), 15% were recovered after 48 hours (R>48), and 64% were never recovered (N). Of the vehicles presumed stolen by amateurs,
44% were recovered within 48 hours, 51% were recovered after 48 hours, and 5% were never recovered.
(a) Draw a tree diagram representing the data.
R<48
R>48
O R<48
R>48
R<48
R>48
N R>48 R<48
N R<48 R>48
P A PA
(b) What is the probability that a vehicle stolen by a professional in this city will be recovered within 48 hours?
.65
(c) What is the probability that a vehicle stolen in this city will never be recovered? (Round your answer to four decimal places.)
69
Transcribed Image Text:Figures obtained from a city's police department seem to indicate that of all motor vehicles reported as stolen, 69% were stolen by professionals (P), whereas 31% were stolen by amateurs (primarily for joy rides) (A). Of the vehicles presumed stolen by professionals, 21% were recovered within 48 hours (R<48), 15% were recovered after 48 hours (R>48), and 64% were never recovered (N). Of the vehicles presumed stolen by amateurs, 44% were recovered within 48 hours, 51% were recovered after 48 hours, and 5% were never recovered. (a) Draw a tree diagram representing the data. R<48 R>48 O R<48 R>48 R<48 R>48 N R>48 R<48 N R<48 R>48 P A PA (b) What is the probability that a vehicle stolen by a professional in this city will be recovered within 48 hours? .65 (c) What is the probability that a vehicle stolen in this city will never be recovered? (Round your answer to four decimal places.) 69
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