Concept explainers
Refer to the chance experiment described in the previous exercise and the sample space for that experiment.
- a. List the outcomes in each of the following events. Which of these events are simple events? (Hint: See Example 6.3.)
- i. the
event that at least one car has an automatic transmission - ii. the event that exactly one car has an automatic transmission
- iii. the event that neither car has an automatic transmission
- i. the
- b. What outcomes are in the event B and C? In the event B or C?
6.3 Consider the chance experiment in which the type of transmission—automatic (A) or manual (M)—is recorded for each of the next two cars purchased from a certain dealer.
- a. What is the set of all possible outcomes (the sample space)? (Hint: See Example 6.2.)
- b. Display the possible outcomes in a tree diagram.
Example 6.3 Turning Directions
A traffic engineer has been asked to consider whether a stop sign at the bottom of a freeway off-ramp should be replaced by a traffic light. To help in this decision, she plans to observe traffic patterns for this off-ramp. Suppose she were to record the turning direction (L = left or R = right) of each of three successive vehicles. This is a chance experiment and the sample space contains eight outcomes;
Each of these outcomes determines a simple event. Other events include
A = event that exactly one of the cars turns right = {RLL, LRL, LLR}
B = event that almost one of the cars turns right - {LLL, RLL, LRL. LLR}
C = event that all cars turn in the same direction = {LLL, RRR}
Some other events that can be formed from the events just defined are
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INTRODUCTION TO STATISTICS & DATA ANALYS
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning