5. Binomial: Airplane engines. Each engine of four (n 11% (p = 0.11,g =1-p 0.89) of the time. Assume this problem obeys the conditions of a binomial experiment, in other words, X is b(4,0.11). 4) on an airplane fails %3D 1 3 4. | f(x) 0.310 0.058 0.005 0.000 (a) Fill in the blank: the chance no (zero) engines fail is 4 0.11°0.894 = (i) 0.005 (ii) 0.058 (iii) 0.310 (iv) 0.627. %3D %3D dbinom (0,4,0.11) # binomial pmf [1] 0.6274224 (b) The expected number of failures is H = E(X) = rf(x) = 0(0.627)+1(0.310)+2(0.058)+3(0.005)+4(0.000) = %3D %3D (i) 0.44 (ii) 0.51 (iii) 0.62 (iv) 0.73. or, using the formula, the expected number of failures is H=np =4(0.11) = %3D (i) 0.44 (ii) 0.51 (iii) 0.62 (iv) 0.73.
5. Binomial: Airplane engines. Each engine of four (n 11% (p = 0.11,g =1-p 0.89) of the time. Assume this problem obeys the conditions of a binomial experiment, in other words, X is b(4,0.11). 4) on an airplane fails %3D 1 3 4. | f(x) 0.310 0.058 0.005 0.000 (a) Fill in the blank: the chance no (zero) engines fail is 4 0.11°0.894 = (i) 0.005 (ii) 0.058 (iii) 0.310 (iv) 0.627. %3D %3D dbinom (0,4,0.11) # binomial pmf [1] 0.6274224 (b) The expected number of failures is H = E(X) = rf(x) = 0(0.627)+1(0.310)+2(0.058)+3(0.005)+4(0.000) = %3D %3D (i) 0.44 (ii) 0.51 (iii) 0.62 (iv) 0.73. or, using the formula, the expected number of failures is H=np =4(0.11) = %3D (i) 0.44 (ii) 0.51 (iii) 0.62 (iv) 0.73.
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
8- answer is given, please show process only, thanks
![5. Binomial: Airplane engines. Each engine of four (n 4) on an airplane fails
11% (p = 0.11, g
conditions of a binomial experiment, in other words, X is 6(4,0.11).
p=0.89) of the time. Assume this problem obeys the
1
3
f(x)
0.310 0.058 0.005 0.000
(a) Fill in the blank: the chance no (zero) engines fail is
f(0) = (O0.11°0.89* = (1) 0.005 (ii) 0.058 (iii) 0.310 (iv) 0.627.
dbinom (0,4,0.11) # binomial pmf
[1] 0.6274224
(b) The expected number of failures is
H = E(X) = f (x) = 0(0.627)+1(0.310)+2(0.058)+3(0.005)+4(0.000) =
(i) 0.44 (ii) 0.51 (iii) 0.62 (iv) 0.73.
or, using the formula, the expected number of failures is
H = np = 4(0.11) =
(i) 0.44 (ii) 0.51 (iii) 0.62 (iv) 0.73.
4,116
78
12
CC
280](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F494e80ae-0562-4de4-9fa3-d6c167ddee04%2F21bf954e-6926-4297-9851-8f5d8e945bd4%2Fhzy06s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Binomial: Airplane engines. Each engine of four (n 4) on an airplane fails
11% (p = 0.11, g
conditions of a binomial experiment, in other words, X is 6(4,0.11).
p=0.89) of the time. Assume this problem obeys the
1
3
f(x)
0.310 0.058 0.005 0.000
(a) Fill in the blank: the chance no (zero) engines fail is
f(0) = (O0.11°0.89* = (1) 0.005 (ii) 0.058 (iii) 0.310 (iv) 0.627.
dbinom (0,4,0.11) # binomial pmf
[1] 0.6274224
(b) The expected number of failures is
H = E(X) = f (x) = 0(0.627)+1(0.310)+2(0.058)+3(0.005)+4(0.000) =
(i) 0.44 (ii) 0.51 (iii) 0.62 (iv) 0.73.
or, using the formula, the expected number of failures is
H = np = 4(0.11) =
(i) 0.44 (ii) 0.51 (iii) 0.62 (iv) 0.73.
4,116
78
12
CC
280
Expert Solution
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 4 steps with 5 images
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