The Washington Wizards and the Philadelphia 76ers are two teams in the National Basketball Association. Washington and Philadelphia will play multiple times over the course of an NBA season. Assume that the Washington has a 25% probability of winning each game against the Philadelphia. Construct a simulation model that uses the negative binomial distribution to simulate the number of games Washington would lose before winning four games against the Philadelphia. Now suppose that the Wizards face the Philadelphia in a best-ofseven playoff series in which the first team to win four games out of seven wins the series. Using the simulation model from part (a), estimate that probability that the Washington would win a best-of-seven series against the Philadelphia 76ers.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The Washington Wizards and the Philadelphia 76ers are two teams in the National
Basketball Association. Washington and Philadelphia will play multiple times over the
course of an NBA season. Assume that the Washington has a 25% probability of
winning each game against the Philadelphia.
- Construct a simulation model that uses the negative binomial distribution to simulate
the number of games Washington would lose before winning four games against the
Philadelphia.
Now suppose that the Wizards face the Philadelphia in a best-ofseven
playoff series in which the first team to win four games out of seven wins the
series. Using the simulation model from part (a), estimate that probability that the
Washington would win a best-of-seven series against the Philadelphia 76ers.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
