(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
icon
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
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
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Systems of Linear Equations
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.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman