Simple Probability and Addition Law Discussion Questions


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Question 2-28
Compute the probability of “loaded die given a 3 was rolled” as shown in the example in
section 2.3, this time using the general form of Bayes’ Theorem from Equation 2-5.
Question 2-4
Describe the addition law for events that are mutually exclusive and events that are not.
Question 2-6
Bayes’ theorem is an extension of the original probability. Explain.
Question 2-8
What is a random variable? What are the various types of random variables?
Question 2-10
What is the expected value, and what does it measure? How is it computed for a discrete
probability distribution?
Question 2-20
a) David Mashley teaches two undergraduate statistics courses at Kansas College. The class
for statistics 201 consists of 7 sophomores and 3 juniors. The more advanced course,
statistics 301, has 2 sophomores and 8 juniors enrolled. As an example of a business
sampling technique, Professor Mashley randomly selects, from the stacks of Statistics
201 registration cards, the class card of one student and then places the card back in the
stack. If that student was a Sophomore, Mashley draws another card from the Statistics
201 stack; if not, he randomly draws a card from the statistics 301 group. Are these two
draws independent events? What is the probability of One sophomore’s name and one
junior’s name on the two draws, regardless of order drawn?

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Explanation & Answer:
6 Questions


Statistical analysis

simple probability

Bayes Theorem from Equation

addition law

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