A certain sheriff\'s office classifies crimes committed in the county by the cri

Question

A certain sheriff's office classifies crimes committed in the county by the criminal's age group and the type of crime committed. Last year there were a total of 1600 crimes committed. 280 of these were considered violent crimes where 70 were committed by persons under 20 years of age and 28 were committed by someone older than 40. In the "non-violent" category, 264 and 396 were committed by persons younger than 20 and older than 40 respectively. A) Complete Table 1 by entering the appropriate cell frequencies Given a randomly selected crime record: B) The probability that the crime was committed by a person younger than 20 years old is: .209 C) The probability that the crime was committed by a person who was not younger than 20 years old is: .791 D) The probability that the crime is classified as a violent crime is: .825 E) The probability that the crime was classified as non-violent or was committed by a person in the 20 to 40 year old age group is: .938 F) The probability that the criminal was over 40 given that it was a violent crime is: .027 G) The probability that the criminal was over 40 and that it was classified as a violent crime is: .046 H) The probability that it was a violent crime given that the criminal was over 40 years old is: .143

Explanation / Answer

D. This is equal to total no of violence crime/total no of crime=280/1600=0.175

F. P (over 40 and violent crime) / p(violent crime) =28/280=0.1

G. This can be found using intersection of over 40 and violent crime that means=28/1600=0.0175

H. P (over 40 and violent crime) / P (over 40 violent crime) =28/424=0.066

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