SOLUTION: A biologist studying the germination rate of a seed finds that 90% of the seeds of a given type germinate. If she has a box of 10 seeds, what is the probability that exactly 6 of t

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Question 395666: A biologist studying the germination rate of a seed finds that 90% of the seeds of a given type germinate. If she has a box of 10 seeds, what is the probability that exactly 6 of the seeds germinate?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi

Note: The probability of x successes in n trials is:
P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively.
In this case p =.9 and q = .1
nCx = n%21%2F%28x%21%28n-x%21%29%29
P(out of 10, exactly 6 will germinate) = 210(.9)^6(.1)^4 = .0112