Larry is a 62% free-throw shooter, that is to say that anytime Larry attempts a free-throw, there is a 62% chance he will make it. Larry will attempt 70 free throws. Assume each attempt is independent of every other attempt. Let X be the number of free throws Larry makes out of 70 and let P^P^ be the proportion of the 70 attempts Larry makes. What is the mean of X?
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.
Larry is a 62% free-throw shooter, that is to say that anytime Larry attempts a free-throw, there is a 62% chance he will make it.
Larry will attempt 70 free throws. Assume each attempt is independent of every other attempt. Let X be the number of free throws Larry makes out of 70 and let P^P^ be the proportion of the 70 attempts Larry makes.
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