A basketball team is in a very close league with
- To define a victory probability (
) and one of defeat ( ), so that the results are quite balanced. - What distribution correctly models the behavior of the team?
- What is the probability that the team wins exactly ten games? And the probability of winning all of them? And none of them?
- What is the average number of victories per season if the team plays several years under these circumstances?
See development and solution
Development:
-
-
The team follows a binomial distribution
. -
Using the probability function of a binomial distribution:
wins
Solution:
- The team follows a binomial distribution
. ; ; wins