dec12p - EXAM P QUESTIONS OF THE WEEK S. Broverman, 2005...

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EXAM P QUESTIONS OF THE WEEK S. Broverman, 2005 Week of December 12/05 A study is done of people who have been charged by police on a drug-related crime in a large urban area. A conviction must take place in order for there to be a sentence of jail time. The following information is determined: (a) 75% are convicted. (b) 10% of those convicted actually did not commit the crime. (c) 25% of those not convicted actually did commit the crime. (d) 2% of those who actually did not commit the crime are jailed. (e) 20% of those who actually did commit the crime are not jailed. Find the probability that someone charged with a drug-related crime who is convicted but not sentenced to jail time actually did not commit the crime. The solution can be found below.
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Week of December 12 - Solution Our "probability space" consists of all people who have been charged with a drug-related offence. We define the following events: G - the person is convicted X - the person is sentenced to jail time H - the person did actually commit the crime.
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dec12p - EXAM P QUESTIONS OF THE WEEK S. Broverman, 2005...

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