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
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1. All the trees survive one year
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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(52865) (Show Source):
(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
