SOLUTION: A botanist is studying a new hybrid Kentucky blue grass seed. It is known that these grass seeds have a 95% probability of germinating. If six seeds were planted what is the probab

Question 528866: A botanist is studying a new hybrid Kentucky blue grass seed. It is known that these grass seeds have a 95% probability of germinating. If six seeds were planted what is the probability that exactly four seeds will germinate? or at least five will germinate? or at most one will not germinate?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A botanist is studying a new hybrid Kentucky blue grass seed. It is known that these grass seeds have a 95% probability of germinating. If six seeds were planted what is the probability::
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Binomial Problems with n = 6 and p(germinate) = 0.95 ; p(not germ) = 0.05
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P(that exactly four seeds will germinate) = 6C4*0.95^4*0.05^2 = 0.0305
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P(at least five will germinate) = 1 - binomcdf(6,0.45,4) = 0.9672
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P(at most one will not germinate) = 1 - P(all will germinate)
= 1 - 0.95^6 = 0.2649
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Cheers,
Stan H.
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