SOLUTION: If a seed is planted, it has a 70% chance of growing into a healthy plant. If 6 seeds are planted, what is the probability that at least 3 grow into a healthy plant? Probabil

Question 1185312: If a seed is planted, it has a 70% chance of growing into a healthy plant.
If 6 seeds are planted, what is the probability that at least 3 grow into a healthy plant?
Probability =
(Please show your answer to 4 decimal places)
Answer by ikleyn(52756) (Show Source): You can put this solution on YOUR website!
.
If a seed is planted, it has a 70% chance of growing into a healthy plant.
If 6 seeds are planted, what is the probability that at least 3 grow into a healthy plant?
Probability =
(Please show your answer to 4 decimal places)
~~~~~~~~~~~~~~~~~

It is a binomial distribution probability problem.

    - number of trials         n =  6;
    - number of success trials k >= 3;
    - Probability of success on a single trial p = 0.70.



We need calculate  P(n=6; k>=3; p=0.7).      


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=6; k>=3; p=0.7) = 0.92953,   or   0.9295 (rounded).       ANSWER

Solved.

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

If you want to see many similar (or different) 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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