Question 1207023
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A fruit company guarantees that 89% of the pineapples shipped will ripen within 4 days 
of delivery. Find the probability that at least 10 pineapples in a case of 12 are ripe within 4 days.
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<pre>
It is a Binomial experiment with the number of trials n= 12 and the probability
of the individual success of p= 0.89 for each individual trial.


    P(at least 10 successes of 12 trials) = P(10) + P(11) + P(12) = use the standard formulas for binomial distribution = 

    = {{{C[12]^10*p^10*(1-p)^2 + C[12]^11*p^11*(1-p) + C[12]^12*p^12}}} = 

    = {{{66*0.89^10*0.11^2 + 12*0.89^11*0.11 + 0.89^12}}} = 0.8623  (rounded).    <U>ANSWER</U>
</pre>

Solved.


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At this site, &nbsp;there are several lessons where many similar problems are solved and presented in all details


&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-problems-on-Binomial-distribution-manually.lesson>Simple and simplest probability problems on Binomial distribution</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Typical-binomial-distribution-probability-problems.lesson>Typical binomial distribution probability problems</A> 


After reading/learning from these lessons, &nbsp;you will be able to solve such problems on your own, which is your 

PRIMARY &nbsp;MAJOR &nbsp;GOAL &nbsp;visiting this forum &nbsp;(I believe).