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In August 2016, a university student was mugged in Jalan Petaling, Kuala Lumpur. In the vicinity of the crime a tall, man with long hair and wearing a black stripe t-shirt are waiting in a silver car. Shortly after the crime was committed, a young, short woman with short and curly hair, was seen running from the scene of the crime and getting into the car, which sped off. The police broadcast a description of the suspected muggers. Soon afterwards, a couple fitting the description was arrested and convicted of the crime. Although the evidence in the case was largely circumstantial, the two peoples were nonetheless convicted of the crime. The prosecutor based his entire case on basic probability theory, showing the unlikeliness of another couple being in that area while having all the same characteristics that the university student described. Table Q4(a) showing the probabilities were used. Table Q4(a) Characteristic Drives silver car Assumed probability 1 out of 14 Man over 6 feet tall 1 out of 6 Man wearing black stripe t-shirt Man with long hair 1 out of 8 I out of 5 1 out of 13 Woman with short hair Woman with curly hair Woman less than 6 feet tall 1 out of 21 1 out of 25 Compute the probability that another couple that was seen in that area has the same characteristic that the university student described. (i) (ii) Based on your answer in Q4(a)(i), suggest the suitable rule to compute the probability; addition or multiplication rule? Based on this case, differentiate the interpretation of addition and multiplication rule.

In August 2016, a university student was mugged in Jalan Petaling, Kuala Lumpur. In the vicinity of the crime a tall, man with long hair and wearing a black stripe t-shirt are waiting in a silver car. Shortly after the crime was committed, a young, short woman with short and curly hair, was seen running from the scene of the crime and getting into the car, which sped off. The police broadcast a description of the suspected muggers. Soon afterwards, a couple fitting the description was arrested and convicted of the crime. Although the evidence in the case was largely circumstantial, the two peoples were nonetheless convicted of the crime. The prosecutor based his entire case on basic probability theory, showing the unlikeliness of another couple being in that area while having all the same characteristics that the university student described. Table Q4(a) showing the probabilities were used. Table Q4(a) Characteristic Drives silver car Assumed probability 1 out of 14 Man over 6 feet tall 1 out of 6 Man wearing black stripe t-shirt Man with long hair 1 out of 8 I out of 5 1 out of 13 Woman with short hair Woman with curly hair Woman less than 6 feet tall 1 out of 21 1 out of 25 Compute the probability that another couple that was seen in that area has the same characteristic that the university student described. (i) (ii) Based on your answer in Q4(a)(i), suggest the suitable rule to compute the probability; addition or multiplication rule? Based on this case, differentiate the interpretation of addition and multiplication rule.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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In August 2016, a university student was mugged in Jalan Petaling, Kuala Lumpur. In the vicinity of the crime a tall, man with long hair and wearing a black stripe t-shirt are waiting in a silver car. Shortly after the crime was committed, a young, short woman with short and curly hair, was seen running from the scene of the crime and getting into the car, which sped off. The police broadcast a description of the suspected muggers. Soon afterwards, a couple fitting the description was arrested and convicted of the crime. Although the evidence in the case was largely circumstantial, the two peoples were nonetheless convicted of the crime. The prosecutor based his entire case on basic probability theory, showing the unlikeliness of another couple being in that area while having all the same characteristics that the university student described. Table Q4(a) showing the probabilities were used. Table Q4(a) Characteristic Drives silver car Assumed probability 1 out of 14 1 out of 6 Man over 6 feet tall Man wearing black stripe t-shirt 1 out of 8 1 out of 5 1 out of 13 1 out of 21 Man with long hair Woman with short hair Woman with curly hair Woman less than 6 feet tall 1 out of 25 Compute the probability that another couple that was seen in that area has the same characteristic that the university student described. (i) Based on your answer in Q4(a)(i), suggest the suitable rule to compute the probability; addition or multiplication rule? Based on this case, differentiate the interpretation of addition and multiplication rule. (ii)
Transcribed Image Text:In August 2016, a university student was mugged in Jalan Petaling, Kuala Lumpur. In the vicinity of the crime a tall, man with long hair and wearing a black stripe t-shirt are waiting in a silver car. Shortly after the crime was committed, a young, short woman with short and curly hair, was seen running from the scene of the crime and getting into the car, which sped off. The police broadcast a description of the suspected muggers. Soon afterwards, a couple fitting the description was arrested and convicted of the crime. Although the evidence in the case was largely circumstantial, the two peoples were nonetheless convicted of the crime. The prosecutor based his entire case on basic probability theory, showing the unlikeliness of another couple being in that area while having all the same characteristics that the university student described. Table Q4(a) showing the probabilities were used. Table Q4(a) Characteristic Drives silver car Assumed probability 1 out of 14 1 out of 6 Man over 6 feet tall Man wearing black stripe t-shirt 1 out of 8 1 out of 5 1 out of 13 1 out of 21 Man with long hair Woman with short hair Woman with curly hair Woman less than 6 feet tall 1 out of 25 Compute the probability that another couple that was seen in that area has the same characteristic that the university student described. (i) Based on your answer in Q4(a)(i), suggest the suitable rule to compute the probability; addition or multiplication rule? Based on this case, differentiate the interpretation of addition and multiplication rule. (ii)
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