Probability and random variables


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

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

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

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

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

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

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

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

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

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

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Basic Statistics: Probability and random variables
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