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A First Course in Probability (10th Edition)
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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L 5 T 6 Module 3 Assignment: Probability 1. Basic probability a. If flips of a coin are independent, what is probability that you would flip 10 heads in a row? b. Will the probability ever be zero? 4+ 1/2 c. What type of distribution describes this process of flipping a coin 10 times? 2. Bayes Rule and the Monty Hall Problem a. Starting with the following: 1. P(A/B) = P(A and B) / P(B) and 2. P(BIA) = P(A and B) / P(A), manipulate equations 1 and 2 to derive Bayes Rule. b. Describe what Bayes Rule allows us to do. What is the Monty Hall Problem? Intuitively describe why you should always switch doors. d. More formally describe why you should always switch doors. 3. The law of large numbers and the central limit theorem are two of the most important concepts in statistics. a. Define both the law of large numbers and the central limit theorem. b. What does the law of large numbers allow us to do? c. What does the central limit theorem allow us to do? & 7 100% + 98 8 DII * C C 11 ( " de ba
Transcribed Image Text:L 5 T 6 Module 3 Assignment: Probability 1. Basic probability a. If flips of a coin are independent, what is probability that you would flip 10 heads in a row? b. Will the probability ever be zero? 4+ 1/2 c. What type of distribution describes this process of flipping a coin 10 times? 2. Bayes Rule and the Monty Hall Problem a. Starting with the following: 1. P(A/B) = P(A and B) / P(B) and 2. P(BIA) = P(A and B) / P(A), manipulate equations 1 and 2 to derive Bayes Rule. b. Describe what Bayes Rule allows us to do. What is the Monty Hall Problem? Intuitively describe why you should always switch doors. d. More formally describe why you should always switch doors. 3. The law of large numbers and the central limit theorem are two of the most important concepts in statistics. a. Define both the law of large numbers and the central limit theorem. b. What does the law of large numbers allow us to do? c. What does the central limit theorem allow us to do? & 7 100% + 98 8 DII * C C 11 ( " de ba
hos.content.blackboardcdn.com/blackboard.learn.xythos.prod/5a30bcf95ea52/14948086?X-Blackboard-S3-Bucket-blackboard.learn.xythc on... Dc408a2c76e0beafce... ‒‒ J- ISIS | Counter Extre... 1/2 Handbook on Wom... + 4. Properly formulating the null and alternative hypotheses is critical in statistical work. Suppose you are investigating an employment discrimination claim that military veterans are discriminated against and are less likely to be hired than those who did not serve in the military. Military veterans comprise 10% of the applicants. a. What would your null hypothesis be? b. What would your alternative hypothesis be? c. Describe the process to test your hypothesis including the type of data that you would need. 93% + d. What are alternative explanations why veterans are hired at a rate less than their application rate? 5. Stock market backdating a. What are stock market event studies? 17 b. Describe the Apple stock market backdating scandal. c. Describe the empirical strategy used by Heron and Lie to identify backdating events and to infer causality, i.e., that backdating is responsible for the abnormally high returns rather than alternative hypotheses. Freedom of Informa... 144 * DDI Life Skills | Transitio... r ماز هارت Con
Transcribed Image Text:hos.content.blackboardcdn.com/blackboard.learn.xythos.prod/5a30bcf95ea52/14948086?X-Blackboard-S3-Bucket-blackboard.learn.xythc on... Dc408a2c76e0beafce... ‒‒ J- ISIS | Counter Extre... 1/2 Handbook on Wom... + 4. Properly formulating the null and alternative hypotheses is critical in statistical work. Suppose you are investigating an employment discrimination claim that military veterans are discriminated against and are less likely to be hired than those who did not serve in the military. Military veterans comprise 10% of the applicants. a. What would your null hypothesis be? b. What would your alternative hypothesis be? c. Describe the process to test your hypothesis including the type of data that you would need. 93% + d. What are alternative explanations why veterans are hired at a rate less than their application rate? 5. Stock market backdating a. What are stock market event studies? 17 b. Describe the Apple stock market backdating scandal. c. Describe the empirical strategy used by Heron and Lie to identify backdating events and to infer causality, i.e., that backdating is responsible for the abnormally high returns rather than alternative hypotheses. Freedom of Informa... 144 * DDI Life Skills | Transitio... r ماز هارت Con
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