Solution 1 Hoomework 3 Name_______________________________ NOTE All work associated with a given problem part MUST be placed DIRECTLY beneath that part
Solution Hoomework Name NOTE All work associated with a given problem part MUST be placed
Solution Hoomework Name NOTE All work associated with a given problem
NOTE All work associated with a given problem part MUST be placed DIRECTLY beneath that part
Solution Hoomework Name NOTE All work associated with a
given problem part MUST be placed DIRECTLY beneath that part
Solution Hoomework Name NOTE All work associated
Solution Hoomework Name
(Solution) 1 Hoomework 3 Name_______________________________ NOTE: All work associated with a given problem part MUST be placed DIRECTLY beneath that part....

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Need help with my homework problem , most of the code is provided on the last page please 1 Hoomework 3 Name_______________________________ NOTE : All work associated with a given problem part MUST be placed DIRECTLY beneath that part. Problem 1 (20pts) In an article concerned with smokers and people who are obese it is stated that: 23.5% are obese, 22.7% of Americans are smokers, and 4.7% are both obese and smokers. http://www.bmj.com/cgi/reprint/333/7557/25 In probabilistic terms, it should be clear that the generic 2-D random variable of interest in this study is ( O,S ): where ? O ” The act of recording whether the person is not [ O =0], or is [ O =1] obese ” and S =” The act of recording whether the person is not [ S =0], or is [ S =1] a smoker ” Clearly, the sample space for ) , ( S O is: ? ) , ( S O S { (0,0) , (1,0) , (0,1) , (1,1) }. (a)(4pts) Give the single subset of ) , ( S O S that correspond to each of the following events in relation to any person: Answer [= No need to show work]: (i) “The event that the person is obese”: ? ? ] 1 [ O (ii) “The event that the person is a smoker”: ? ? ] 1 [ S (iii)“The event that the person is obese and a smoker”: ? ? ? ? ] 1 1 [ S O (iv)”The event that a person is obese, given that person is a non-smoker”: ? ? ? ] 0 | 1 [ S O (b)(7pts) For each singleton set {(o,s)}, let )} , Pr{( s o p os ? ? . From the reported results, obtain numerical estimates for the four singleton set probabilities : 11 01 10 00 , , , p p p p . Denote these estimates as 11 01 10 00 , , , p p p p ? ? ? ? . Solution [= Show work]: (c)(3pts) In the article it is also stated that “41.5% of adults in the US are either obese or smoke”. Use your results in (b) to verify this number. [Hint: Identify the event ] 1 1 [ ? ? ? S O as a subset of ) , ( S O S .] Solution : (d)(4pts) Given that a person is obese, estimate the probability that the person is also a smoker. Solution :