SOLUTION: Trees planted by a landscaping firm have a 95% one-year survival rate. If they plant 16 trees in a park, what are the following probabilities? 1. All the trees survive one year.

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Question 1202128: Trees planted by a landscaping firm have a 95% one-year survival rate. If they plant 16 trees in a park, what are the following probabilities?
1. All the trees survive one year.
2. At least 14 trees survive one year.

Answer by ikleyn(52804) About Me  (Show Source):
You can put this solution on YOUR website!
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Trees planted by a landscaping firm have a 95% one-year survival rate.
If they plant 16 trees in a park, what are the following probabilities?
(1) All the trees survive one year.
(2) At least 14 trees survive one year.
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        It is a binomial distribution probability problem. 


(1)    P = 0.95%5E16 = 0.4401  (rounded).    ANSWER



(2)    P(at least 14 survive one year) = P(16 survive) + P(15 survive) + P(14 survive) = 

     = 0.95%5E16 + C%5B16%5D%5E15%2A0.95%5E15%2A%281-0.95%29%5E1 + C%5B16%5D%5E14%2A0.95%5E14%2A%281-0.95%29%5E2 = 

     = 0.95%5E16 + 16%2A0.95%5E15%2A0.05 + 120%2A0.95%5E14%2A0.05%5E2 = 0.9571  (rounded).    ANSWER

Solved.

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To see many other similar  (and different)  solved problems,  look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
in this site.

Learn the subject from there.