document.write( "Question 335868: The manufacturer of a new chemical fertilizer guarantees that, with the aid of the fertilizer, 65% of the seeds planted germinate. If we believe the manufacturer's assertion, what is the probability that fewer than 6 of the 8 seeds that were planted will germinate? Round your answer to four decimal places. \n" ); document.write( "

Algebra.Com's Answer #241342 by Fombitz(32388) $\"\"$ $\"About$

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Let's work it backwards by finding the probability that 6,7 or 8 germinate, then we'll subtract from 1.
\n" ); document.write( " $\"P%286%29=+36%280.65%29%5E%289-7%29%280.35%29%5E%287%29=0.00978601\"$
\n" ); document.write( " $\"P%287%29=+9%280.65%29%5E%289-8%29%280.35%29%5E%288%29=0.001317347\"$
\n" ); document.write( " $\"P%288%29=+1%280.65%29%5E%289-9%29%280.35%29%5E%289%29=7.8816x10%5E%28-5%29\"$
\n" ); document.write( "P(6,7 or 8)= $\"P%286%29%2BP%287%29%2BP%288%29=0.01118\"$
\n" ); document.write( "P(5 or fewer)= $\"1-0.01118=0.9888\"$
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