Consider the population described by the probability distribution shown below. The random variable is observed twice with independent observations. | 1,1 1,2 1,3 1,4 2,1 2,2 2,3 2,4 Full data set o p(x) D 0.3 Sample Probability 0.09 0.03 0.06 0.12 0.03 0.01 0.02 0.04 2 0.1 | 3,1 3,2 3,3 3,4 4,1 4,2 4,3 4,4 Probability 0.06 0.02 0.04 0.08 0.12 0.04 0.08 0.16 0.2 Sample 4. 0.4 a. Complete the sampling distribution table. Type the x values in ascending order, 1.5 2 3.5 Probability 0.09 0.28 0.12 (Type exact answers in simplified form.) b. Construct a probability histogram for the sampling distribution of x. Choose the correct probability histogram below. O A. OB. Oc. OD. 03P(x) 02TP (i) Q 04P) Q 04 04 c. What is the probability that x is 2.5 or larger? The probability that the sample mean is 2.5 or larger is (Type an exact answer in simplified form.) d. Would you expect to observe a value of x equal to 2.5 or larger? Explain. Yes, because the probability is not small. O No, because the probability is small.
Consider the population described by the probability distribution shown below. The random variable is observed twice with independent observations. | 1,1 1,2 1,3 1,4 2,1 2,2 2,3 2,4 Full data set o p(x) D 0.3 Sample Probability 0.09 0.03 0.06 0.12 0.03 0.01 0.02 0.04 2 0.1 | 3,1 3,2 3,3 3,4 4,1 4,2 4,3 4,4 Probability 0.06 0.02 0.04 0.08 0.12 0.04 0.08 0.16 0.2 Sample 4. 0.4 a. Complete the sampling distribution table. Type the x values in ascending order, 1.5 2 3.5 Probability 0.09 0.28 0.12 (Type exact answers in simplified form.) b. Construct a probability histogram for the sampling distribution of x. Choose the correct probability histogram below. O A. OB. Oc. OD. 03P(x) 02TP (i) Q 04P) Q 04 04 c. What is the probability that x is 2.5 or larger? The probability that the sample mean is 2.5 or larger is (Type an exact answer in simplified form.) d. Would you expect to observe a value of x equal to 2.5 or larger? Explain. Yes, because the probability is not small. O No, because the probability is small.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Consider the population described by the
![Consider the population described by the probability distribution shown below. The random variable is observed twice with independent observations.
1,3 1,4 2,1 2,2 2,3 2,4 Full data set O
p(x) D
Sample
Probability 0.09 0.03 0.06 0.12 0.03 0.01 0.02 0.04
1,1 1,2
1
0.3
0.1
0.2
Sample
Probability 0.06 0.02 0.04 0.08 0.12 0.04 0.08 0.16
3,1 3,2
3,3
3,4 4,1 4,2 4,3 4,4
4
0.4
a. Complete the sampling distribution table. Type the x values in ascending order.
1.5
2
3.5
4
Probability
(Type exact answers in simplified form.)
0.09
0.28
0.12
b. Construct a probability histogram for the sampling distribution of x.
Choose the correct probability histogram below.
O A.
В.
Oc.
O D.
p (x)
P(x)
0.3-
0.3-
0.2 P(x)
p (x)
0.4P ()
1
1
1
c. What is the probability that x is 2.5 or larger?
The probability that the sample mean is 2.5 or larger is
(Type an exact answer in simplified form.)
d. Would you expect to observe a value of x equal to 2.5 or larger? Explain.
O Yes, because the probability is not small.
O No, because the probability is small.
Click to select your answer(s).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d6ce828-7421-4579-a347-7b809a44673d%2F99613a34-34e7-4dcc-8901-639086f654a6%2Favzrl4g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the population described by the probability distribution shown below. The random variable is observed twice with independent observations.
1,3 1,4 2,1 2,2 2,3 2,4 Full data set O
p(x) D
Sample
Probability 0.09 0.03 0.06 0.12 0.03 0.01 0.02 0.04
1,1 1,2
1
0.3
0.1
0.2
Sample
Probability 0.06 0.02 0.04 0.08 0.12 0.04 0.08 0.16
3,1 3,2
3,3
3,4 4,1 4,2 4,3 4,4
4
0.4
a. Complete the sampling distribution table. Type the x values in ascending order.
1.5
2
3.5
4
Probability
(Type exact answers in simplified form.)
0.09
0.28
0.12
b. Construct a probability histogram for the sampling distribution of x.
Choose the correct probability histogram below.
O A.
В.
Oc.
O D.
p (x)
P(x)
0.3-
0.3-
0.2 P(x)
p (x)
0.4P ()
1
1
1
c. What is the probability that x is 2.5 or larger?
The probability that the sample mean is 2.5 or larger is
(Type an exact answer in simplified form.)
d. Would you expect to observe a value of x equal to 2.5 or larger? Explain.
O Yes, because the probability is not small.
O No, because the probability is small.
Click to select your answer(s).
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 5 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman