The prior probabilities for events are ?1,
?2,and?3?(?1)=0.20,
?(?2)=0.50,?(?3)=0.30. (Note the events are
mutually exclusive and collectively exhaustive). The conditional
probabilities of event B given are ?1,
?2,and?3?(?|?1)=0.50,
?(?|?2)=0.40,?(?|?3)=0.30
1. Compute and .?(?⋂?1), ?(?⋂?2) and
?(?⋂?3)
2. Compute ?(?)
3. Apply Bayes’ theorem to compute the posterior probability,
and .?(?1|?), ?(?2|?) and
?(?3|?)
1. Explain differences between Independent Events and Mutually
Exclusive Events.
2. Describe the two basic rules of probability.
3. Describe the purpose of a contingency table. What are the
differences between a contingency table and a frequency (pivot)
table we discuss earlier in our course?
4. Describe the purpose and application of Bayes' Theorem.
MUTUALLY EXCLUSIVE EVENTS AND THE ADDITION RULE
Determine whether the following pair of events are mutually
exclusive.
1) A card is drawn from a deck.
C={It is a King} D={It is a heart}.
2) Two dice are rolled.
G={The sum of dice is 8} H={One die shows a 6}
3) A family has three children.
K={First born is a boy} L={The family has children of both
sexes}
Use the addition rule to find the following probabilities.
1) A die is...
Describe, in a short paragraph, the relationship between
independent events and mutually exclusive events. Are independent
events also mutually exclusive? Your answer should include (but
should not be limited to) an answer to the following questions:
Give an example of two events A and B that are mutually exclusive,
and explain why they are dependent events. Give an example of two
events that are dependent, but are not mutually exclusive. Explain!
Both examples and explanations are desired.
Describe the difference between the probability of two mutually
exclusive events, two complementary events, and two events that are
not mutually exclusive. Give examples of each.
identify two examples of collaborative gowth (perferably one
alliance & one acquisition ) for Mahindra & Manhindra
Limited has already undestaken or is planning to enter into.Justify
whether or not it was the best route to follow in each case using
the framework suggested by Dyer, Kale & Singh
Eaxmine & recommend a possible future scenario for Mahindra
& Mahindra Limited to enter into colloborative arranegement
with another firm.assess whether an acquistion or alliance is best
suited in the above...
Instructions
Identify a current problem in physics by searching for news
articles and current events. One reputable source of news in
physics is Phys.org. Choose one article, and in two pages, describe
how the scientific method is being used to solve the problem
mentioned in the article. Identify the initial observations that
identified the problem, the hypothesis, tests, and any revisions of
the original hypothesis. Cite the article in APA format as well as
other references you might use.
LINK:...
1. If A and B are mutually exclusive events, does it follow that
An and B cannot be independent events ? Give an example to
demonstrate your answer. For example, discuss an election where
only one person can win. Let A be the event that party A’s
candidate wins, let B be the event that party B’s candidate wins.
Does the outcome of one event determine the outcome of the other
event ? Are A and B mutually exclusive events...