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A2 - Stat 230 Assignment 2 Due in class on Wednesday July 7...

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Stat 230 - Assignment 2 Due in class on Wednesday, July 7, 2010 1. During a meteor shower, if you trace the trails of meteors back to their source, they appear to originate from a single point, called the radiant . This can be exhibited visually with a photograph containing at least three meteors. A photograph of 4 meteors radiating from Leo during the Leonid meteor shower in 2001. As an estimate, you assume that during the shower, meteors occur according to a Poisson process, though you do not know the intensity, λ , measured in meteors per hour. (a) What three assumptions does this make about the shower? How likely is each to hold? (b) A photographer plans to take a series 1 minute photographs (the shutter is open for a 1 minute exposures). Because of technical limitations, each photograph has a 10% chance showing each meteor that appears during the minute that it is taken (some meteors are too dim, some are out of the field of view of the camera, etc.). Let X be the number of meteors in a photo.
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