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 1200 crimes committed. 210 of these were considered violent crimes where 42 were committed by persons under 20 years of age and 42 were committed by someone older than 40. In the "non-violent" category, 198 and 248 were committed by persons younger than 20 and older than 40 respectively.

A) Complete Table 1 by entering the appropriate cell frequencies

Note: for parts B through H you may enter your answer in fraction form, n/d, or you can compute a decimal value and enter that. If you submit decimal answers be sure to use at least 3 decimal precision for your entries

Given a randomly selected crime record:
B) The probability that the crime was committed by a person younger than 20 years old is:  
C) The probability that the crime was committed by a person who was not younger than 20 years old is:  
D) The probability that the crime is classified as a violent crime is:  
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:  
F) The probability that the criminal was over 40 given that it was a violent crime is:  
G) The probability that the criminal was over 40 and that it was classified as a violent crime is:  
H) The probability that it was a violent crime given that the criminal was over 40 years old is:  

Table 1: Cross tabulation for crime type by age group for 1200 selected crime records Under 20 20 to 40 Over 40 Totals Violent Non-violent Totals

Explanation / Answer

Under 20 20 to 40 Above 40

Violent 42 126 42 210

Non Violent 198 544 248 990

B) = (42+198) / 1200

C) = 1 - Answer of Part (B)

D) = 210/1200

E) = (990 + 126) / 1200

F) = 42 / 210

G) = 42 / 1200

H) = 42 / (42 + 248)

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