MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.

P(X=6), n=18, p=0.4

Expert Solution
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Step 1

Binomial distribution

The probability of obtaining x successes in the n independent trails of Binomial experiments is given by,

P(X=x) = Cxn×px×(1-p)n-x   , x = 0, 1, 2, ........n 

Where , p is probability of success 

n is number of independent trails 

Combination formula ,  

Cxn = n! x! (n-x) !    

 

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