document.write( "Question 1016962: Your firm has 6 different manufacturing lines that each produce the same type of widget. There is a 93 percent chance that each line is functional on any given day. Assuming a Bernoulli process what is the probability of all six manufacturing lines working on any given day? \n" ); document.write( "

Algebra.Com's Answer #633297 by mathmate(429) $\"\"$ $\"About$

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\n" ); document.write( "Question:
\n" ); document.write( "Your firm has 6 different manufacturing lines that each produce the same type of widget. There is a 93 percent chance that each line is functional on any given day. Assuming a Bernoulli process what is the probability of all six manufacturing lines working on any given day?
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\n" ); document.write( "Solution:
\n" ); document.write( "The conditions satisfy the binomial distribution
\n" ); document.write( "P(N)=C(N,x)*p^x*(1-p)*(N-x)
\n" ); document.write( "N=number of trials, 6
\n" ); document.write( "x=number of successes, 6
\n" ); document.write( "p=probability of success in each trial, 0.93
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\n" ); document.write( "So
\n" ); document.write( "P(6)=C(6,6)*0.93^6*0.07^0
\n" ); document.write( "=1*0.93^6*1
\n" ); document.write( "=0.647 (approximately)
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