SOLUTION: A certain brand of tomato seeds has a 0.75 probability of germinating. To increase the chance that at least one tomato plant per seed hill germinates, a gardener plants four seeds

Question 1007999: A certain brand of tomato seeds has a 0.75 probability of germinating. To increase the chance that at least one tomato plant per seed hill germinates, a gardener plants four seeds in each hill. (Round your answers to five decimal places.)

(a) What is the probability that at least one seed will germinate in a given hill?
(b) What is the probability that two or more seeds will germinate in a given hill?
(c) What is the probability that all four seeds will germinate in a given hill?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A certain brand of tomato seeds has a 0.75 probability of germinating. To increase the chance that at least one tomato plant per seed hill germinates, a gardener plants four seeds in each hill. (Round your answers to five decimal places.)
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Binomial Problems with n = 4 and p(germinate) = 0.75 ; p(not germinate) = 0.25
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(a) What is the probability that at least one seed will germinate in a given hill?
P(1<= x <=4) = 1 - p(x = 0) = 1 - 0.25^4 = 0.9961
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(b) What is the probability that two or more seeds will germinate in a given hill?
P(2<= x <=4) = 1 - binomcdf(4,0.75,1) = 0.9492
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(c) What is the probability that all four seeds will germinate in a given hill?
P(x = 4) = 0.75^4 = 0.3164
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Cheers,
Stan H.
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