SOLUTION: 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

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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.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's work it backwards by finding the probability that 6,7 or 8 germinate, then we'll subtract from 1.
P%286%29=+36%280.65%29%5E%289-7%29%280.35%29%5E%287%29=0.00978601
P%287%29=+9%280.65%29%5E%289-8%29%280.35%29%5E%288%29=0.001317347
P%288%29=+1%280.65%29%5E%289-9%29%280.35%29%5E%289%29=7.8816x10%5E%28-5%29
P(6,7 or 8)=P%286%29%2BP%287%29%2BP%288%29=0.01118
P(5 or fewer)=1-0.01118=0.9888