SOLUTION: 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

Algebra ->  Permutations -> SOLUTION: 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      Log On


   

Question 1207023: 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.
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.
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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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 = 

    =  = 

    = 66%2A0.89%5E10%2A0.11%5E2+%2B+12%2A0.89%5E11%2A0.11+%2B+0.89%5E12 = 0.8623  (rounded).    ANSWER

Solved.

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

    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems

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