problem 1: Define the term probability. Describe conditional and joint probabilities.

problem 2: State and prove various properties of the probability.

problem 3: How the probabilities of statistically independent events are associated with one other?

problem 4: Define the term random variables and distinguish between discrete and continuous random variables.

problem 5: Define the term CDF. Describe various properties of the CDF.

problem 6: Define the term PDF. Describe various properties of the PDF.

problem 7: Derive the relationship between the term CDF and PDF.

problem 8: Illustrate the word joint distribution function. Describe its different properties.

problem 9: Define the word joint PDF. Describe its different properties.

problem 10: Describe the relationship between the joint PDF and probability.