a) Suppose the case was a crime against the person. What is the probability that

Question

a) Suppose the case was a crime against the person. What is the probability that it resulted in custody?

b) Suppose the case results in probation. What is the probability that it was conviction for a Criminal code offense (traffic)?

c) Are the events ‘the case was a crime against the property’ and ‘the sentence was conditional’ mutually exclusive?

d) Are the events ‘the case was a crime against the property’ and ‘the sentence was conditional’ independent?

The following table lists the number of adult criminal cases in Canada (Statistics Canada, March 2013) by case type and sentence. Type of sentence Custody Conditional Probation sentence Criminal code Crimes against the persoin Property crimes Administration of justice Other criminal code offenses Other criminal code offenses (traffic) 7,38'7 Other federal statute 16,067 22,178 28,186 4,124 2,465 3,925 1,460 456 751 2,732 36,474 34,353 20,378 5,708 7,141 10,534 7,980

Explanation / Answer

a) P( custody) = (16067)/(16067+2465+36474)=0.2920

b)P( Criminal codes offense Traffic/ probation) = 7387/[16067+22178+28186+4124+7387+7980]= 0.0859

c) No, not mutually exclusive since they interact.

d) No, not independent as P( AB) is not equal to P(A)*P(B)

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