SOLUTION: Trees planted by a landscaping firm have a 90% one-year survival rate, If they plant 15 trees in a park, what is the following probabilities: 1. All the trees survive one year

Question 1180127: Trees planted by a landscaping firm have a 90% one-year survival rate, If they plant 15 trees in a park, what is the following probabilities:
1. All the trees survive one year
2. At least 13 trees survive one year
Answer by ikleyn(52872) (Show Source): You can put this solution on YOUR website!
.


(1)  P =  = 0.2059  (rounded).     ANSWER



(2)  It is a binomial distribution probability problem.

    - number of trials        n =  15;
    - number of success trial k >= 13;
    - Probability of success on a single trial p = 0.9.



We need calculate  P(n = 15; k >= 13; p = 0.9).      


To facilitate calculations, I use an appropriate online (free of charge) calculator at this web-site 

https://stattrek.com/online-calculator/binomial.aspx


It provides nice instructions  and  a convenient input and output for all relevant options/cases.


    P(n = 15; k >= 13; p = 0.9) = 0.8159  (rounded).       ANSWER

Solved.

---------------

To see a variety similar solved problems, look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
    - How to calculate Binomial probabilities with Technology (using MS Excel)
    - Solving problems on Binomial distribution with Technology (using MS Excel)
    - Solving problems on Binomial distribution with Technology (using online solver)
in this site.

After reading these lessons, you will be able to solve such problems on your own,
which is your PRIMARY MAJOR GOAL visiting this forum (I believe).

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