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The police find a stolen car abandoned in a parking lot. One group of 100 black cotton fibres is recovered from the driver's seat. A

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The police find a stolen car abandoned in a parking lot. One group of 100 black cotton fibres is recovered from the driver's seat. A person of interest comes to the attention of the police, and this person's black cotton jumper is confiscated. The forensic scientist formulates the following pair of activity level propositions: Hp: The person of interest sat in the driver's seat of the stolen car. Ha: The person of interest did not sit in the driver's seat of the stolen car. Some other, unknown person sat in the driver's seat of the stolen car. The fibres recovered from the stolen car are indistinguishable from the fibres of the person of interest's black cotton jumper. According to Roux and Margot (1997), the match probability for black cotton fibres is 0.18, the probability of finding 1 group of black cotton fibres by chance on a car seat is 0.074 and the probability of finding 0 groups of fibres on a car seat is 0.05. Assuming that: . the probability of the transfer, persistence and recovery of 100 cotton fibres as a result of the activity of sitting in a car seat is 0.06 (i.e., tp,100 = ta,100 = 0.06), . the probability of the transfer, persistence and recovery of 0 fibres as a result of the activity of sitting in a car seat is 0.0002 (i.e., tpo = td,0 = 0.0002) and . a possibility of the transfer also needs to be considered for the Hd. What is the likelihood ratio for the observed results with regard to the activity level propositions given above? O 0.03 O 5.53 0 5 O 13.51 O 4000

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