SOLUTION: Trees planted by a landscaping firm have a 95% 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 1168491: Trees planted by a landscaping firm have a 95% 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 Boreal(15235) (Show Source): You can put this solution on YOUR website!
the first is 0.95^15=0.4633 assuming independence.
At least 13 means 13,14,15
13 surviving is 15C13*0.95^13*0.05^2=0.1348
14 is 15*0.95^14*0.05=0.3658
The total is 0.9639
or 1-binomcdf(15,0.95,12)=0.9638, the difference due to rounding. The last is more accurate.
RELATED QUESTIONS
Trees planted by a landscaping firm have a 95% one-year survival rate, If they plant 15... (answered by Shin123)

Trees planted by a landscaping firm have a 95% one-year survival rate, If they plant 15... (answered by Theo)

Trees planted by a landscaping firm have a 95 % one-year survival rate, If they plant 12 (answered by ikleyn)

Trees planted by a landscaping firm have a 90% one-year survival rate, If they plant 15... (answered by ikleyn)

Trees planted by a landscaping firm have a 95% one-year survival rate. If they plant 16... (answered by ikleyn)

Trees planted by a landscaping firm have a 90% one-year survival rate. If they plant 12... (answered by Boreal)

Of all the trees planted by a landscaping firm, 70% survive. What is the probability that (answered by Fombitz)

*****Of all the trees planted by a landscaping firm, 55% survive. What is the probability (answered by Theo)

Ninety percent of the trees planted by a landscaping firm survive. What is the... (answered by solver91311)