3. For a special report 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 in their story: Speeding data for cities in Linn and Johnson Counties City City Speed Limit Cars Counted Over %Over Limit Limit Cedar Rapids Iowa City Iowa City 25 241 233 96.7 35 292 124 42.5 20 203 203 100.0 Marion 30 329 268 81.5 Coralville 25 174 161 92.5 Suppose that one of these drivers is selected at random. Define the following events: F= the event that a driver was in a city with a speed limit above 25 mph. S= the event that a driver is speeding. a) The table below shows the possible combinations of F and S. For each combination, calculate the probability that the combination would be observed for a randomly selected driver. Enter these probabilities into the corresponding cell in the table. Speed Limit > 25mph (Fast lane) Speed Limit 25mph or less (Slow lane) Driver speeding Driver not speeding

3. For a special report 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 in their story: Speeding data for cities in Linn and Johnson Counties City City Speed Limit Cars Counted Over %Over Limit Limit Cedar Rapids Iowa City Iowa City 25 241 233 96.7 35 292 124 42.5 20 203 203 100.0 Marion 30 329 268 81.5 Coralville 25 174 161 92.5 Suppose that one of these drivers is selected at random. Define the following events: F= the event that a driver was in a city with a speed limit above 25 mph. S= the event that a driver is speeding. a) The table below shows the possible combinations of F and S. For each combination, calculate the probability that the combination would be observed for a randomly selected driver. Enter these probabilities into the corresponding cell in the table. Speed Limit > 25mph (Fast lane) Speed Limit 25mph or less (Slow lane) Driver speeding Driver not speeding

Name: b) Using the information in the table in part (a), calculate P(FUS).c
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Description: b) Using the information in the table in part (a), calculate P(FUS).c) Using the information in the table in part (a), calculate P(F|S).d) Using the information in the table in part (a), calculate P(S)e) These events are represented in a tree diagra

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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