### Calculating the Mean, Variance, and Standard Deviation of a Binomial DistributionIn this exercise, you will find the mean, variance, and standard deviation of the binomial distribution with the given values of \( n \) and \( p \).The parameters provided are:- \( n = 50 \)- \( p = 0.3 \)#### MeanThe mean (μ) of a binomial distribution is calculated using the formula:\[ \mu = n \cdot p \]For this example:\[ \mu = 50 \cdot 0.3 \]\[ \mu = 15 \](Note: The value should be rounded to the nearest tenth if necessary.)#### VarianceThe variance (σ²) of a binomial distribution is calculated using the formula:\[ \sigma^2 = n \cdot p \cdot (1 - p) \]Plugging in the values:\[ \sigma^2 = 50 \cdot 0.3 \cdot (1 - 0.3) \]\[ \sigma^2 = 50 \cdot 0.3 \cdot 0.7 \]\[ \sigma^2 = 10.5 \]#### Standard DeviationThe standard deviation (σ) is the square root of the variance:\[ \sigma = \sqrt{n \cdot p \cdot (1 - p)} \]Using the calculated variance:\[ \sigma = \sqrt{10.5} \]\[ \sigma \approx 3.24 \]#### Input InstructionsEnter your answer in the answer box and then click "Check Answer".### Example Screen Layout- **Remaining Parts**: 2 parts remaining shown in a progress bar.- **Action Buttons**: Clear All and Check Answer. The example screen captures a typical educational website layout where students input their calculated answers based on provided formulas. Ensure the values are rounded as specified in the instructions.---This content guides students through the statistical concepts and computational steps necessary to characterize a binomial distribution's behavior. Understanding these basics are crucial for interpreting and analyzing binomial data effectively.

Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Answered: Find the mean, variance, and standard…

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n= 50, p 0.3 %3D

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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