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)? See example 2 b. Display the possible outcomes in a tree diagram. c. List the outcomes in each of the following events. Which of these events are simple events? i. ii. B the event that at least one car has an automatic transmission C the event that exactly one car has an automatic transmission iii. D the event that neither car has an automatic transmission d. What outcomes are in the event B and C? In event B or C?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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)? See example 2
b. Display the possible outcomes in a tree diagram.
c. List the outcomes in each of the following events. Which of these events are simple
events?
B the event that at least one car has an automatic transmission
C the event that exactly one car has an automatic transmission
iii. D the event that neither car has an automatic transmission
d. What outcomes are in the event B and C? In event B or C?
i.
ii.
Transcribed Image Text: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)? See example 2 b. Display the possible outcomes in a tree diagram. c. List the outcomes in each of the following events. Which of these events are simple events? B the event that at least one car has an automatic transmission C the event that exactly one car has an automatic transmission iii. D the event that neither car has an automatic transmission d. What outcomes are in the event B and C? In event B or C? i. ii.
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