DNA evidence compelling? DNA evidence can beextracted from biological traces such as blood, hair, andsaliva. "DNA fingerprinting" is increasingly used in thecourtroom as well as in paternity testing. Given that aperson is innocent, suppose that the probability of his orher DNA matching that found at the crime scene is only0.000001, one in a million. Further, given that a personis guilty, suppose that the probability of his or her DNAmatching that found at the crime scene is 0.99. Jane Doe'sDNA matches that found at the crime scene.5.61a. Find the probability that Jane Doe is actually inno-cent, if absolutely her probability of innocence is0.50. Interpret this probability. Show your solution byintroducing notation for events, specifying probabil-ities that are given, and using a tree diagram to findyour answer.b. Repeat part a if the unconditional probability of inno-cence is 0.99. Compare results.Explain why it is very important for a defense lawyerto explain the difference between P(DNA matchperson innocent) and P(person innocent DNA match).с.

Given DataGiven that the person is innocent, probability that his or her DNA is matching =…

Answered: DNA evidence compelling? DNA evidence…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question 1 In a survey of top executives, it was found that 54% had either traveled internationally on business or could fluently speak a foreign language. The probability that an executive who had not traveled internationally could speak a foreign language was 20%. It was found that only 2% of the executives had traveled internationally and could speak a foreign language. Imagine we randomly pick a top executive who answered the survey. a.What is the probability that the executive has not traveled internationally and does not speak a foreign language fluently? b.What is the probability that the executive does not speak a foreign language fluently? c.What is the probaility that an executive has not traveled internationally? d. If we had a random sample of 10 top executives (who responded to the survey), what would be the probability that two had traveled internationally? -.
Your friend Phil, asks you what you think about a new scratch-off lottery game. It costs $10 to play this game, There are two outcomes for the game (win, lose) and the probability that a player wins a game is 60%. A win results in $15, for a net win of $5 ($15 minus the $10 paid to play). The probability distribution for x� (the amount of money a player wins or loses) in a single game is as follows:
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