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Assume that a procedure yields a binomial distribution with n = 763 trials and the probability of success for one trial is p = 4/15. Find the mean for this binomial distribution. (Round answer to one decimal place.) f= Find the standard deviation for this distribution. (Round answer to two decimal places.) σ=

Assume that a procedure yields a binomial distribution with n = 763 trials and the probability of success for one trial is p = 4/15. Find the mean for this binomial distribution. (Round answer to one decimal place.) f= Find the standard deviation for this distribution. (Round answer to two decimal places.) σ=

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
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The problem presents a binomial distribution scenario: - Number of trials (\(n\)): 763 - Probability of success for one trial (\(p\)): 4/15 Tasks: 1. **Calculate the Mean (\(\mu\))**: - Formula: \(\mu = n \times p\) - Round your answer to one decimal place. - Input the value in the provided box labeled \(\mu =\). 2. **Calculate the Standard Deviation (\(\sigma\))**: - Formula: \(\sigma = \sqrt{n \times p \times (1-p)}\) - Round your answer to two decimal places. - Input the value in the provided box labeled \(\sigma =\). 3. **Determine the Usual Values**: - Use the range rule of thumb: Minimum usual value = \(\mu - 2\sigma\) and Maximum usual value = \(\mu + 2\sigma\). - Enter the interval in square brackets and ensure it contains only whole numbers in the box labeled "usual values =". Press the "Next Question" button to proceed after finishing these calculations.
Transcribed Image Text:The problem presents a binomial distribution scenario: - Number of trials (\(n\)): 763 - Probability of success for one trial (\(p\)): 4/15 Tasks: 1. **Calculate the Mean (\(\mu\))**: - Formula: \(\mu = n \times p\) - Round your answer to one decimal place. - Input the value in the provided box labeled \(\mu =\). 2. **Calculate the Standard Deviation (\(\sigma\))**: - Formula: \(\sigma = \sqrt{n \times p \times (1-p)}\) - Round your answer to two decimal places. - Input the value in the provided box labeled \(\sigma =\). 3. **Determine the Usual Values**: - Use the range rule of thumb: Minimum usual value = \(\mu - 2\sigma\) and Maximum usual value = \(\mu + 2\sigma\). - Enter the interval in square brackets and ensure it contains only whole numbers in the box labeled "usual values =". Press the "Next Question" button to proceed after finishing these calculations.
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