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