Concept explainers
a.
Obtain the
a.
Answer to Problem 13E
The sample space of possible outcomes is given by:
Explanation of Solution
Calculation:
The given information is that there are three people in a family and each person
Sample Space:
A sample space is the set of all possible outcomes of a random experiment.
Here, there are three persons in a family and each person is assigned to three stations.
The 27 possible outcomes are as follows:
It is given that the event B is all three people go to different stations.
Therefore, the sample space for the event B is given by:
Complement of an event A is the set of all outcomes that are not in A. It is denoted as
The event
Therefore, the sample space for the event
b.
Obtain the sample space for the event
b.
Answer to Problem 13E
The sample space of possible outcomes is given by:
Explanation of Solution
Calculation:
It is given that the event C is that no one goes to station.
Therefore, the sample space for the event C is given by:
Then the event
Therefore, the sample space for the event
c.
Obtain the sample space for the event
c.
Answer to Problem 13E
The sample space of possible outcomes is given by:
Explanation of Solution
Calculation:
It is given that the event A is that all three people go to the same station.
Then the possibilities for event A are either three persons are assigned to station 1 or three persons are assigned to station 2 or three persons are assigned to station 3.
Therefore the sample space for A is given by:
It is given that the event B is that all three people go to the different stations.
Therefore, the sample space for the event B is given by:
The sample space for the event
Therefore, the sample space for the event
d.
Obtain the sample space for the event
d.
Answer to Problem 13E
The sample space of possible outcomes is given by:
Explanation of Solution
Calculation:
It is given that the event A is all three people go to the same station.
Then the possibilities for event A are either three persons are assigned to station 1 or three persons are assigned to station 2 or three persons are assigned to station 3.
Therefore, the sample space for A is given by:
It is given that the event B is that all three people go to the different station.
Therefore, the sample space for the event B is given by:
The sample space for the event
Therefore, the sample space for the event
e.
Obtain the sample space for the event
e.
Answer to Problem 13E
The sample space of possible outcomes is given by:
Explanation of Solution
Calculation:
It is given that the event A is that all three people go to the same station.
Then the possibilities for event A are either three person are assigned to station 1 or three person are assigned to station 2 or three person are assigned to station 3.
Therefore, the sample space for A is given by:
It is given that the event C is that no one goes to station.
Therefore, the sample space for the event C is given by:
The sample space for the event
Therefore, the sample space for the event
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Chapter 6 Solutions
Introduction To Statistics And Data Analysis
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