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Crimes Committed The numbers show the number of crimes committed in a large city. If a crime is selected at random, find the probability that it is a motor vehicle theft. What is the probability that it is not an assault? $$ \begin{array}{ll}{\text { Theft }} & {1375} \\ {\text { Burglary of home or office }} & {500} \\ {\text { Motor vehicle theft }} & {275} \\ {\text { Assault }} & {200} \\ {\text { Robbery }} & {125} \\ {\text { Rape or homicide }} & {25}\end{array} $$

Name: Problem 31, Chapter 4: Elementary Statistics a Step by Step Approach
Uploaded: 2020-07-31T15:17:20-08:00
Duration: 1 min 39 s
Channel: Richard Miller
Description: Crimes Committed The numbers show the number of crimes committed in a large city. If a crime is selected at random, find the probability that it is a motor vehicle theft. What is the probability that it is not an assault? Theft 1375 Burglary of home or office 500 Motor vehicle theft 275 Assault 200 Robbery 125 Rape or homicide 25

   Crimes Committed The numbers show the number of crimes committed in a large city. If a crime is selected at random, find the probability that it is a motor vehicle theft. What is the probability that it is not an assault?
$$
\begin{array}{ll}{\text { Theft }} & {1375} \\ {\text { Burglary of home or office }} & {500} \\ {\text { Motor vehicle theft }} & {275} \\ {\text { Assault }} & {200} \\ {\text { Robbery }} & {125} \\ {\text { Rape or homicide }} & {25}\end{array}
$$

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Chapter 4, Problem 31

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Solved by Expert Richard Miller

07/31/2020

Step 1

We do this by adding up all the individual crime numbers. \[1375 (\text{Theft}) + 500 (\text{Burglary of home or office}) + 275 (\text{Motor vehicle theft}) + 200 (\text{Assault}) + 125 (\text{Robbery}) + 25 (\text{Rape or homicide}) = 2500\] Show more…

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Crimes Committed The numbers show the number of crimes committed in a large city. If a crime is selected at random, find the probability that it is a motor vehicle theft. What is the probability that it is not an assault? $$ \begin{array}{ll}{\text { Theft }} & {1375} \\ {\text { Burglary of home or office }} & {500} \\ {\text { Motor vehicle theft }} & {275} \\ {\text { Assault }} & {200} \\ {\text { Robbery }} & {125} \\ {\text { Rape or homicide }} & {25}\end{array} $$

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Key Concepts

Probability

Probability is a foundational concept in statistics that quantifies the likelihood of an event occurring by comparing the number of favorable outcomes to the total number of outcomes in a defined sample space. It helps in formalizing uncertainty using numerical values between 0 and 1.

Sample Space

The sample space is the complete set of all possible outcomes of an experiment or event. In probability calculations, it forms the denominator when determining the likelihood of a particular event, ensuring that all possible cases are considered.

Complementary Probability

Complementary probability is the concept that the probability of an event not occurring is equal to one minus the probability of the event occurring. This approach simplifies solving problems where calculating the probability of the complement is more straightforward than calculating the probability of the event directly.

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