In: Math
Describe 5 different types of data distributions. You may include jpegs or bitmaps. Provide 2 example of a variable that is representative for each distribution. You may not use the standard normal. t-distribution, F-distribution, Chi-Square distribution, Binomial distribution, or uniform distribution. These distributions are all covered in the course.
1.Geometric: it is the number of "failures" before the 1st "success".
a. getting first tail in tossing of a coin 10 times
b. getting first 6 in drawing a dice 10 times
2.Negative Binomial: Counts with minimum 0 (or other value depending on which version) and no upper bound. Conceptually it is the number of "failures" before k "successes".
a. getting 3rd tail in tossing of a coin 10 times
b. getting 5th 5 in drawing a dice 10 times
3.Poisson: Common for counts. Nice properties that if the number of events in a period of time or area follows a Poisson,
a. number of occupied beds in hotel/hospital
b. number of car accident in any interval
4.Hypergeometric test uses the hypergeometric distribution to calculate the statistical significance of having drawn a specific k successes (out of n n total draws) from the aforementioned population
a. drawing of 3 red and 5 white marble from a box
b. selection of 4 girl and 5 boys from a class
5.Exponential: special case of the Gamma. It is memoryless and scales easily.
a. How long one wait for next phone call
b. Time required to repair a component of any machine/instrument that is not working