please show your work The Wood County sheriff classifies crimes by age (in years
ID: 3316458 • Letter: P
Question
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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. 2. Under 20 20 to 40 40 or older Total Violent Nonviolent Total 27 12 39 41 34 75 82 68 150 14 36 a. What is the probability of selecting a case to analyze and finding it involved a violent b. What is the probability of selecting a case to analyze and finding the crime was c. What is the probability of selecting a case that involved a violent crime or an offender d. Given that the violent crime is selected for analysis, what is the probability the crime e. Two crimes are selected by Judge Tybo. What is the probability both are violent crime? committed by someone less than 40 years old? less than 20 years old? was committed by a person under 20 years old? crimes?Explanation / Answer
a. The required probability is equal to no. of ways a violent crime can be selected out of all possible selections = 82/150 = 0.54667
b. Possible cases of crime being committed by someone less than 40 years = 39+75 = 114
Probability of selecting a case with crime being committed by someone less than 40 years of age = 114/150 = 0.76
c. Possible ways of selecting a violent crime = 82
Possible ways of selecting a non-violent crime with the offender being less than 20 years of age = 12
Required probability = (82+12)/150= 0.62667
d. Possible cases of violent crime = 82
Violent crime committed by a person under 20 years = 27
required probability = 27/82 =0.3292
e. 2 violent crimes can be selected out of allpossible violent crimes in C[82,2] ways
any 2 crimes can be selected out of allpossible crimes in C[150,2] ways
Required probability = C[82,2] / C[150,2] = (82x81) / (150x149) = 0.2972
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