the Aloha state, you are very unlikely to be murdered! However, it is considerably more likely that your house might be burgled, your car might be stolen, or you might be punched in the nose. That said, Hawaii is still a great place for a vacation or, if you are very lucky, to live. The following numbers represent the crime rates per 100,000 population in Hawaii: murder, 1.6; rape, 21.4; robbery, 95.3; house burglary, 903.6; motor vehicle theft, 521.7; assault, 106.3. (a) Display this information in a Pareto chart, showing the crime rate for each category. (b) Could the information as reported be displayed as a circle graph? Explain. Hint: Other forms of crime, such as arson, are not included in the information. In addition, some crimes might occur together. A. Yes, but the graph would take into account only multiple crimes and not these particular individual crimes. B. Yes, the graph would be able to account for all information. C. No, the graph would be unable to account for all information. D. Yes, but the graph would take into account only these particular crimes and would not indicate if multiple crimes occurred during the same incident.
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
In the Aloha state, you are very unlikely to be murdered! However, it is considerably more likely that your house might be burgled, your car might be stolen, or you might be punched in the nose. That said, Hawaii is still a great place for a vacation or, if you are very lucky, to live. The following numbers represent the crime rates per 100,000 population in Hawaii: murder, 1.6; rape, 21.4; robbery, 95.3; house burglary, 903.6; motor vehicle theft, 521.7; assault, 106.3.
(a) Display this information in a Pareto chart, showing the crime rate for each category.
(b) Could the information as reported be displayed as a circle graph? Explain. Hint: Other forms of crime, such as arson, are not included in the information. In addition, some crimes might occur together.
The distribution is given as under:
| Crime | Crime Rates |
| Burglary | 903.6 |
| Theft | 512.7 |
| Assault | 106.3 |
| Robbery | 95.3 |
| Rape | 21.4 |
| Murder | 1.6 |
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