Mathematics

1-) Present with an example the difference between a simple event and a joint event.

2-) Present an example of how the sum rule can be used to find the probability of occurrence of an A or B event.

3-) Describe the difference between mutually exclusive events and collectively exhaustive events. Present an example.

4-) Explain by means of an example of how you can use the Bayes rule to obtain probabilities.

5-) Describe the distinctive properties of the normal distribution.

6-) Why is only a table of the normal distribution necessary to find any probability under the normal curve?

7-) How is the area between two values under the normal curve? Show it with an example.

8-) How is the X value corresponding to a given percentile of the normal distribution? Show it with an example.

9-) Why should individual observations be converted to standardized normal ordered values in order to develop a normal probability plot?

10-) How does the normal probability graph help assess whether a data set is normally distributed?

11-) What does the central limit theorem establish?

12-) What is the difference between probability distribution and sample distribution?

13-) Why is the arithmetic mean of the sample an unbiased estimate of the population's arithmetic mean?