SOLUTION: 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?
Algebra ->
Probability-and-statistics
-> SOLUTION: 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?
Log On
Question 1193948: 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? Answer by ikleyn(52814) (Show Source):
You can put this solution on YOUR website! .
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?
~~~~~~~~~~~~~~~
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
