Online crowdsourcing has become a popular way to tackle problems that are (cur- rently) too complex to be performed by a

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Online Crowdsourcing Has Become A Popular Way To Tackle Problems That Are Cur Rently Too Complex To Be Performed By A 1 (127.69 KiB) Viewed 116 times

Online crowdsourcing has become a popular way to tackle problems that are (cur- rently) too complex to be performed by an algorithm but relatively simple for humans, such as detecting sarcasm on social media, solving protein folding puzzles, and classifying galax- ies. One project used crowdsourcing to classify night-time photographs taken by astronauts onboard the International Space Station. Volunteers were asked to identify what the pho- tographs contained: a city, stars, or an aurora. It is thought that 65% of the photos are of a city and 30% of the photos are of stars, with the remaining photos containing an aurora. Suppose that the photos with an aurora are always classified correctly and that photos with a city or stars are classified correctly 85% of the time. Photos with a city are classified as containing an aurora 2% of the time and photos with stars are classified as containing an aurora 6% of the time. If a photo is classified as containing stars, what is the probability that it actually shows a city? Be sure to show your work.