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hi, i think this is a binomial distribution but i don't know how to solve this. thank you!
Suppose that 62% of all people in a town need to get a haircut.
If 41 people are randomly selected, find the probability that at most 24 of them need to get a haircut.
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Your thinking is right - it is a standard binomial distribution problem.
The number of trials is n=41; the indexes of successful trials are k=1,2,3,...,24;
the probability of success for each single individual trial is p = 0.62.
The formula to calculate the probability is
P = P(n=41; k<=24; p=0.62) = = .
To facilitate my calculations, I used online calculator at this site https://stattrek.com/online-calculator/binomial.aspx
It provides nice instructions and a convenient input and output for all relevant options/cases.
The resulting number is P = 0.37931 (rounded). ANSWER
Solved.
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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).