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Chrome File Edit View History Bookmarks People Window Help E Fri 10:27 PM 28% You Are 32,000 Annual Snopping Cart 80crates.hunter.cumy.e. × Homework 2 Introduction To Statisti: Bayron ::: Apps O chase 0 www.webassign.net/web/Student/Assignment-Responses.submit?dep=16800637#Q8 Int du tinta GPA YouTube 1 TJMaK N Ntix-Chemistry-Transfer Info-CheggRateMyProf CUNYFirst Partal Microsoft M McGraw-Hill Connect%WebAssign @ MyLab Pearson An article reported that required background checks blocked 205,900 gun sales in a year. The article also indicated that state and local police reject a higher percentage of would-be gun buyers than does the FBI, stating, Half Tiltte "The FBI performed 4.7 million of the 8.9 million checks, compared with 4.2 million by state and local agencies. The rejection rate among state and local agencies was 3%, compared with 1.7% for the FB1. Define the fellowing events. About the A F= event that a randomly selected gun purchase background check is performed by the FBI s = event that a randomly selected gun purchase background check is performed by a state or local agency R = event that a randomly selected gun purchase background check results in a blocked sale Brie Contents 2015-1 (a) Use the given information to estimate the following probabilities. (Round your answers to three decimal places.) 1: The Rale of C7 2; Collecting (i) F) 528 (ii) PS) Ch Ch E: Leaming 8.1: Chance E 472 (iii) PIRIF) Shot B.3: Aasc P 0.4: Condt (iv) PYRIs) 03 8.8: Sume 6.7: Est mating (b) Use the probabilities from part (a) to evaluate PSIR). (Round your answer to three decimal places.) to size 15.pdf Ch & Captor Ch 7: Random Write a sentence interpreting this value in the context of this problem. C7 8: Samp ing This is the probability that for a background check going through the FBI, the sale was rejected This is the probability that if a gun purchase was rejected, it happened through the FB This is the probability that for a background check going through a state or lacal agency, the sale was 3 PM cn 11:Compar C7 13: Simple L This is the probability that if a gun purchase was rejected, it happened through a state or local agency Ch 14: Multiple C., 15. Aralysis ppardx A: Need Help?Read ItTalk to a Tuter Submit Answer Save Progress Praction Anathar Vorsian Park Map.nd

Explanation / Answer

(iv) Using the law of total probability the proportion of guns rejected is computed as:

P(R) = P( R | S) P(S) + P( R| F)P(F) = 0.03*0.472 + 0.017*0.528 = 0.0231

Now using Bayes theorem, we get:

P( S | R) = P( R | S) P(S) / P(R) = 0.03*0.472 / 0.0231 = 0.6120

Therefore 0.612 is the required probability here.

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