In a Special Report, "Speed Demons," in the Cedar Rapids

Essay

In a special report, "Speed Demons," in the Cedar Rapids, IA, Gazette, reporters used a radar gun to check the speeds of motorists in two counties. They were shocked (!) to discover that some motorists were driving at a speed greater than the posted limits. They reported the following information: Suppose that one of these cars is selected at random. Consider the following events:
F = the event that a driver is in a "fast lane" (speed limit above 25 mph).
S = the event that a driver is speeding.
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b)From the information in part (a), calculate .
c)From the information in part (a), calculate .
d)From the information in part (a), calculate P(S).
e)These events are represented in a tree diagram below. What is the probability that a randomly selected driver will "follow the branches" to the X?