Solution) Wood County sheriff classifies crimes by age (in years) of the criminal and whether is violent or no


Question: Wood County sheriff classifies crimes by age (in years) of the criminal and whether is violent or nonviolent. As shown below, a total of 150 crimes were reported by the sheriff last year

Under 20 20 to 40 40 or older Total
Violent 27 41 14 82
Non Violent 12 34 22 68
Total 39 75 36 150

(a) What is the probability of selecting a case to analyze and finding that it involved a violent crime?

(b) What is the probability of selecting a case to analyze and finding that the crime was committed by someone less than 40 years old?

(c) What is the probability of selecting a case that involved a violent crime or an offender less than 20 years old?

(d) Given that a violent crime is selected for analysis, what is the probability the crime was committed by a person under 20 years old?

(e) Two crimes are selected by Judge Tybo. What is the probability that both are violent crimes?

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