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.

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(52805) (Show Source): You can put this solution on YOUR website!
.
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 =  = 0.4401  (rounded).    ANSWER



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

     =  +  +  = 

     =  +  +  = 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.

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