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. 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?

Question

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. ​  ​ 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?

Quizplus · Accepted Answer

The Answer of 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. ​  ​ 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?

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