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
Want to see more full solutions like this?
Chapter 6 Solutions
Introduction To Statistics And Data Analysis
- Elections In the 2012 presidential election, over 130 million people voted, of which 47 were male and 53 were female. Of the male voters, 45 voted for Barack Obama and 52 voted for Mitt Romney. Of the female voters, 55 voted for Obama and 44 voted for Romney. Source: Roper Center. a. Find the percentage of voters who voted for Obama. b. Find the probability that a randomly selected voter for Obama was male. c. Find the probability that a randomly selected voter for Obama was female.arrow_forwardFlexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible hours----even when it meant slower career advancement----so they could spend more time with their families. The figure shows the results of the survey. What is the probability that three people chosen at random would prefer flexible work hours?arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,