Let X =1 if a randomly selected vehicle passes an emissions test and X = 0 otherwise. Then X is a Bernoulli rv with pmf p(1) = p and p(0) = 1- p. (a) Compute E(X). EX?) = P (b) Show that V(X) = p(1 - p). V(X) = )- (E(X)? = P -p? = p(1 - p) (c) Compute E(X4). E(X®4) =
Let X =1 if a randomly selected vehicle passes an emissions test and X = 0 otherwise. Then X is a Bernoulli rv with pmf p(1) = p and p(0) = 1- p. (a) Compute E(X). EX?) = P (b) Show that V(X) = p(1 - p). V(X) = )- (E(X)? = P -p? = p(1 - p) (c) Compute E(X4). E(X®4) =
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
Can someone explain it to me why I’m getting wrong answer??!!!
![Let X = 1 if a randomly selected vehicle passes an emissions test and X = 0 otherwise. Then X is a Bernoulli rv with pmf p(1) = p and p(0) = 1 - p.
%3D
(a) Compute E(X?).
E(X?) = P
(b) Show that V(X) = p(1 - p).
V(X) = Ex
)- [E(X)]?
= p(1 - p)
(c) Compute E(X84).
E(X4) = P
Need Help?
Read It
3:31 PM
ENG
令中
2/27/2022
DELL
Esc
E1
F2
F3
F4
F5
F6
F7
F8
F9
F10
F11
F12
PrtScr
Insert
Delete
of
#
%24
&
1
2
3
4
5
6
Backspace
8
9
%3D
Tab
E
R
Y
P
Caps Lock
A
D
G
K
L
Enter
Shift
V
B
N
M
?
Shift
Ctrl
Fn
Alt
t PgUp
Alt
Ctrl
目
+ Home
PgDn
End
Inspiron 14 5000 2-in-1
14EMOR
Touen Drnght ene
otie huwm
Aesve Pen
MalliJurmemen
OHE CRETA
N](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11ad9986-04b0-4336-8340-a3038312afe8%2F996e9fc1-bc9a-455f-9b02-4df677bdc75f%2F8eljof6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let X = 1 if a randomly selected vehicle passes an emissions test and X = 0 otherwise. Then X is a Bernoulli rv with pmf p(1) = p and p(0) = 1 - p.
%3D
(a) Compute E(X?).
E(X?) = P
(b) Show that V(X) = p(1 - p).
V(X) = Ex
)- [E(X)]?
= p(1 - p)
(c) Compute E(X84).
E(X4) = P
Need Help?
Read It
3:31 PM
ENG
令中
2/27/2022
DELL
Esc
E1
F2
F3
F4
F5
F6
F7
F8
F9
F10
F11
F12
PrtScr
Insert
Delete
of
#
%24
&
1
2
3
4
5
6
Backspace
8
9
%3D
Tab
E
R
Y
P
Caps Lock
A
D
G
K
L
Enter
Shift
V
B
N
M
?
Shift
Ctrl
Fn
Alt
t PgUp
Alt
Ctrl
目
+ Home
PgDn
End
Inspiron 14 5000 2-in-1
14EMOR
Touen Drnght ene
otie huwm
Aesve Pen
MalliJurmemen
OHE CRETA
N
Expert Solution
Step 1
Solution:
Let X be the bernoulli random variable having probability mass function is given by
that is P(1)= p and P(0)= 1-p
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman