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A high school baseball player has a 0.307 batting average. In one game, he gets 5 at bats.
What is the probability he will get at least 3 hits in the game?
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It is a standard binomial distribution problem.
The number of trials is n=5; the indexes of successful trials are k=3, 4, 5;
the probability of success for each single individual trial is p = 0.307).
The formula to calculate the probability is
P = P(3) + P(4) + P(5) = P(n=5; k>=3; p=0.307) = = .
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 = 0.17246357389 = 0.1725 (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).