Compute the probability of X successes using the binomial formula. Round your answers to three decimal places as needed. Part: 0/5 Part 1 of 5 (a) n=4, p=0.11, X=2 P(X) = X
Compute the probability of X successes using the binomial formula. Round your answers to three decimal places as needed. Part: 0/5 Part 1 of 5 (a) n=4, p=0.11, X=2 P(X) = X
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
P(X)= ?
![**Title: Calculating Probability Using the Binomial Formula**
**Instruction:**
Compute the probability of \( X \) successes using the binomial formula. Round your answers to three decimal places as needed.
**Problem Details:**
- **Part: 0 / 5**
**Part 1 of 5:**
- Given:
- \( n = 4 \) (number of trials)
- \( p = 0.11 \) (probability of success on each trial)
- \( X = 2 \) (number of successes)
- **Formula:**
- \( P(X) = \) [Input Field]
**Instructions for Input:**
- Enter your answer in the provided input field, rounding to three decimal places as necessary.
**Instructions:**
- Click "Next Part" to proceed after calculating the probability.
**Notes:**
This exercise uses the binomial probability formula:
\[
P(X = k) = \binom{n}{k} p^k (1-p)^{n-k}
\]
where:
- \( \binom{n}{k} \) is the binomial coefficient,
- \( n \) is the number of trials,
- \( p \) is the probability of success on an individual trial,
- \( k \) is the number of successes.
Continue through the sections to solve for different values as needed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b9b7f6a-cd0d-4490-81f2-bf1728b26b7f%2Ff3747e1f-bfdd-4a4b-8a2c-6c7673fbb913%2Fr6n2l6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Calculating Probability Using the Binomial Formula**
**Instruction:**
Compute the probability of \( X \) successes using the binomial formula. Round your answers to three decimal places as needed.
**Problem Details:**
- **Part: 0 / 5**
**Part 1 of 5:**
- Given:
- \( n = 4 \) (number of trials)
- \( p = 0.11 \) (probability of success on each trial)
- \( X = 2 \) (number of successes)
- **Formula:**
- \( P(X) = \) [Input Field]
**Instructions for Input:**
- Enter your answer in the provided input field, rounding to three decimal places as necessary.
**Instructions:**
- Click "Next Part" to proceed after calculating the probability.
**Notes:**
This exercise uses the binomial probability formula:
\[
P(X = k) = \binom{n}{k} p^k (1-p)^{n-k}
\]
where:
- \( \binom{n}{k} \) is the binomial coefficient,
- \( n \) is the number of trials,
- \( p \) is the probability of success on an individual trial,
- \( k \) is the number of successes.
Continue through the sections to solve for different values as needed.
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