Hi, 

Note: The probability of x successes in n trials is: 

P = nCx*  where p and q are the probabilities of success and failure respectively 

In this case p =.20 and q = .80

nCx = 

P(5 out of 30 will resign) = 30C5 *.2^5 * .8^25 = 142506 *.2^5 * .8^25 =.1723 

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