1) A cab was involved in a hit and run accident at night on a dark street corner in lower Manhattan. In general, 85% of the cabs in the area are yellow and 15% are green (green cabs in NYC are for the outer boroughs and upper Manhattan - they can drop off but not pick up fares downtown). The court tested the reliability of an eye witness under the same circumstances that existed on the night of the accident and concluded that the witness correctly identified the color of yellow cabs 80% of the time and correctly identified green cabs 90% of the time. a) If a random cab is sampled, what is the probability that the eye witness can correctly identify it? b) If the eye witness identified the cab involved as being green, what is the probability that the cab involved in the accident actually was green rather than yellow?