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The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 80% of planted...

The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 80% of planted seeds will germinate. Suppose the manufacturer is correct. If 9 seeds planted with the fertilizer are randomly selected, what is the probability that more than 7 of them germinate?

Carry your intermediate computations to at least four decimal places, and round your answer to at least two decimal places.

Math   Statistics-And-Probability   
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Answer #1

Solution: The given problem is a binomial problem with ,

Now we have to find the probability out of 9 seeds planted with the fertilizer, more than 7 of them germinates. Let x be the number of plants which will germinate. Therefore, we have to find

We know that:

Therefore the probability that more than 7 of them germinate is

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