An eyewitness to the crime says that the person who committed it was male, between 15 and 20 years old, Hispanic, and drove a blue Honda. The prosecutor points out that a proportion of only 0.001 people living in that city match all those characteristics, and one of them is the defendant. Thus, the prosecutor argues that the probability that the defendant is not guilty is only 0.001. Explain what is wrong with this logic. (Is P(match) = P(not guilty | match)? )
Answer to relevant QuestionsFor events A, B, and C such that each pair of events is disjoint, use a Venn diagram to explain why P(A or B or C) = P(A) + P(B) + P(C). A tennis match can consist of the best of three sets (that is, the winner is the first to win two sets) or the best of five sets (the winner is the first to win three sets). Which would you be better off playing if you are ...A couple plans to have two children. Each child is equally likely to be a girl or boy, with gender independent of that of the other child. a. Construct a sample space for the genders of the two children. b. Find the ...A local downtown arts and crafts shop found from past observation that 20% of the people who enter the shop actually buy something. Three potential customers enter the shop. a. How many outcomes are possible for whether the ...Example 8 discussed the Triple Blood Test for Down syndrome, using data summarized in a table shown again below. a. Given that a test result is negative, show that the probability the fetus actually has Down syndrome is P(D ...
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