(x) 0.5 1 (a) 2 (b) -1 (c) f(x) =, 0 < x < 2 (d) f(x) = x², 1
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
![(1) Which of the following functions is a valid probability density function (p.d.f.)?
f(x),
f(x) 1
0.5
-1
(a)
1
2
(b)
-1
(c) f(x) ==, 0 <x < 2
(d) f(x) = x², 1<x< 2
(2) The probabilities of events A, B and C in an experiment are 0.2, 0.68, and 0.1, respectively.
We know that event C belongs to A (C c A), and that B and C are independent. What is
P(AN Bn C)?
(а) 0.068
(b) 0.136
(c) 0.98
(d) 0.78
0,
x <-1
(3) F(x) =
**1,-1< x< 2 is a cumulative distribution function. What is P(0 < X < 2)?
9
1,
x > 2
(a) ;
(b)}
(c)
(d)
3
(4) The following table represents the price distribution of all different bags in a store. What are
the population and population size, respectively?
(a) A bag, 65
Price (S)
Frequency
25
15 – 19.99
(b) All bags in the store, 65
20 – 24.99
19
(c) All bags in the store, not known
25 – 29.99
13
30 – 34.99
8
(d) A bag, not known
(5) 9 students are waiting in a line to get on the bus. Among them, 3 are close friends and insist
on sticking together in the line. In how many ways can this line be formed?
() C)
(b) )-3!
|×6!
(с) 3!x6!
(d) 3!×7!
NIM](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F672bf286-8abe-4b07-9ca1-0d5b2612956c%2F0e9867b3-4ed4-479f-9702-8d90866e74a7%2Fc5xrc0a_processed.png&w=3840&q=75)
Transcribed Image Text:(1) Which of the following functions is a valid probability density function (p.d.f.)?
f(x),
f(x) 1
0.5
-1
(a)
1
2
(b)
-1
(c) f(x) ==, 0 <x < 2
(d) f(x) = x², 1<x< 2
(2) The probabilities of events A, B and C in an experiment are 0.2, 0.68, and 0.1, respectively.
We know that event C belongs to A (C c A), and that B and C are independent. What is
P(AN Bn C)?
(а) 0.068
(b) 0.136
(c) 0.98
(d) 0.78
0,
x <-1
(3) F(x) =
**1,-1< x< 2 is a cumulative distribution function. What is P(0 < X < 2)?
9
1,
x > 2
(a) ;
(b)}
(c)
(d)
3
(4) The following table represents the price distribution of all different bags in a store. What are
the population and population size, respectively?
(a) A bag, 65
Price (S)
Frequency
25
15 – 19.99
(b) All bags in the store, 65
20 – 24.99
19
(c) All bags in the store, not known
25 – 29.99
13
30 – 34.99
8
(d) A bag, not known
(5) 9 students are waiting in a line to get on the bus. Among them, 3 are close friends and insist
on sticking together in the line. In how many ways can this line be formed?
() C)
(b) )-3!
|×6!
(с) 3!x6!
(d) 3!×7!
NIM
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.
Step by step
Solved in 2 steps with 1 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