SOLUTION: At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .46. Find the probability that in a sample of 10 customers, at least 3 wil

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Question 1182029: At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .46. Find the probability that in a sample of 10 customers, at least 3 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)
Answer by ikleyn(52761) About Me  (Show Source):
You can put this solution on YOUR website!
.
It is a binomial distribution probability problem.

    - number of trials         n =  10;
    - number of success trials k >=  3;
    - Probability of success on a single trial p = 0.46.



We need calculate  P(n=10; k>=3; p=0.46).      


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=10; k>=3; p=0.46) = 0.91108594003,   or   0.9111 (rounded).       ANSWER

Solved.

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To see a variety of similar 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,
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