Homework Help is Here – Start Your Trial Now!
Math
Statistics
(b) n=1, p=0.56, X=0 P(X) = [ Xx ←

(b) n=1, p=0.56, X=0 P(X) = [ Xx ←

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
P(X)= ?
**Binomial Probability Calculation Example** **Part 2 of 5** (b) Given: - \( n = 1 \) - \( p = 0.56 \) - \( X = 0 \) We are tasked to find the probability \( P(X) \). In this part, you will learn how to calculate the probability of a certain number of successes in a binomial experiment. Here, the number of trials \( n = 1 \), the probability of success in a single trial \( p = 0.56 \), and we are looking for the probability of having 0 successes (\( X = 0 \)). **To calculate \( P(X) \):** Since we have \( n = 1 \), we can use the formula for binomial probability: \[ P(X = x) = \binom{n}{x} p^x (1-p)^{n-x} \] Substitute the given values into the formula: \[ P(X = 0) = \binom{1}{0} (0.56)^0 (1-0.56)^{1-0} \] \[ P(X = 0) = 1 \times 1 \times (0.44) = 0.44 \] Thus, the probability \( P(X = 0) \) is 0.44. This basic binomial distribution example illustrates how to find the probability of an event with given parameters.
Transcribed Image Text:**Binomial Probability Calculation Example** **Part 2 of 5** (b) Given: - \( n = 1 \) - \( p = 0.56 \) - \( X = 0 \) We are tasked to find the probability \( P(X) \). In this part, you will learn how to calculate the probability of a certain number of successes in a binomial experiment. Here, the number of trials \( n = 1 \), the probability of success in a single trial \( p = 0.56 \), and we are looking for the probability of having 0 successes (\( X = 0 \)). **To calculate \( P(X) \):** Since we have \( n = 1 \), we can use the formula for binomial probability: \[ P(X = x) = \binom{n}{x} p^x (1-p)^{n-x} \] Substitute the given values into the formula: \[ P(X = 0) = \binom{1}{0} (0.56)^0 (1-0.56)^{1-0} \] \[ P(X = 0) = 1 \times 1 \times (0.44) = 0.44 \] Thus, the probability \( P(X = 0) \) is 0.44. This basic binomial distribution example illustrates how to find the probability of an event with given parameters.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS