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Wednesday, February 3, 2016

The Wood County sheriff classifies crimes by age

 February 03, 2016     No comments   

The Wood County sheriff classifies crimes by age (in years) of the criminal and whether the crime is violent or nonviolent. As shown below, a total of 150 crimes were reported by the sheriff last year. (20 points) Under 20 20 to 40 40 or older Total Violent 27 41 14 82 Nonviolent 12 34 22 68 Total 39 75 36 150 What is the probability of selecting a case to analyze and finding it involved a violent crime? What is the probability of selecting a case to analyze and finding the crime was committed by someone less than 40 years old? What is the probability of selecting a case that involved a violent crime or an offender less than 20 years old? Given that the violent crime is selected for analysis, what is the probability the crime was committed by a person under 20 years old? Two crimes are selected by Judge Tybo. What is the probability both are violent crimes? A real estate agent has 10 properties that she shows. She feels that there is a 10% chance of selling any one property. The chance of selling any one property is independent of selling another property. (12 points) What probability distribution model would be appropriate for describing the number of properties sold? Compute the expected number of properties to be sold. Compute the standard deviation of the number of properties to be sold. Compute the probability of selling exactly one property. Compute the probability of selling exactly five properties. Compute the probability of selling at least two properties. A pediatric nurse is studying the number of babies born at a hospital with congenial defects. Data shows that on the average, one baby with a congenial defect is born per month. (12 points) What type of probability distribution is appropriate for this problem?
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