Guidance Missile System A missile guidance system has nine fail-safe components. The probability of each failing is 0.40. Assume the variable is binomial. Find the following probabilities. Round your answers to at least four decimal places. Part: 0 / 4 Part 1 of 4 (a) Exactly six will fail. P(exactly six will fail) =
Guidance Missile System A missile guidance system has nine fail-safe components. The probability of each failing is 0.40. Assume the variable is binomial. Find the following probabilities. Round your answers to at least four decimal places. Part: 0 / 4 Part 1 of 4 (a) Exactly six will fail. P(exactly six will fail) =
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
![### Guidance Missile System
A missile guidance system has nine fail-safe components. The probability of each failing is 0.40. Assume the variable is binomial. Find the following probabilities. Round your answers to at least four decimal places.
#### Part: 0 / 4
---
#### Part 1 of 4
(a) Exactly six will fail.
\[ P(\text{exactly six will fail}) = \]
---
In this problem, we are dealing with a binomial distribution where we need to determine the probability of exactly six out of nine components failing, given that each component has a 0.40 chance of failure. To solve this, you would typically use the formula for binomial probability:
\[ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \]
where:
- \( n \) is the number of trials (components),
- \( k \) is the number of successes (failures in this context),
- \( p \) is the probability of success (failure),
- \( \binom{n}{k} \) is the binomial coefficient.
Graph or Diagram Explanation:
There are no graphs or diagrams provided in this particular question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08ad6c20-d691-4a3f-8949-0fe4518b5718%2Fd103df77-1a87-481b-84a9-ff0b5e72f911%2F9jokqs3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Guidance Missile System
A missile guidance system has nine fail-safe components. The probability of each failing is 0.40. Assume the variable is binomial. Find the following probabilities. Round your answers to at least four decimal places.
#### Part: 0 / 4
---
#### Part 1 of 4
(a) Exactly six will fail.
\[ P(\text{exactly six will fail}) = \]
---
In this problem, we are dealing with a binomial distribution where we need to determine the probability of exactly six out of nine components failing, given that each component has a 0.40 chance of failure. To solve this, you would typically use the formula for binomial probability:
\[ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \]
where:
- \( n \) is the number of trials (components),
- \( k \) is the number of successes (failures in this context),
- \( p \) is the probability of success (failure),
- \( \binom{n}{k} \) is the binomial coefficient.
Graph or Diagram Explanation:
There are no graphs or diagrams provided in this particular question.
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 2 steps with 2 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