**Problem Description:**A binomial experiment with a probability of success \( p = 0.8 \) and \( n = 6 \) trials is conducted. What is the probability that the experiment results in exactly 4 successes?**Instructions:**- Do not round your intermediate computations.- Round your final answer to three decimal places.- If necessary, consult a list of formulas.**Diagram/Graph Explanation:**There are no graphs or diagrams in the image. The primary focus is on calculating the probability using the binomial distribution formula.**Solution Approach:**To solve this problem, use the binomial probability formula:\[ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \]Where:- \( n = 6 \) (number of trials)- \( k = 4 \) (number of successes)- \( p = 0.8 \) (probability of success)In this context, calculate \( P(X = 4) \).

given data, p=0.8n=6q=1-p=1-0.8=0.2x= no. of success p(X=x)=n Cx*px*qn-x (binomial distribution)p(X=4)=?p(X=4)=6 C4*0.804*0.206-4 =0.24576 =0.246

Answered: A binomial experiment with probability…

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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