Check up
list for Midterm 2
- Units (Only material and problems from 2A): Idenify units.
Unit conversions. Currency conversions.
- Definition of outcomes and events.
- Count the total number of outcomes, and the number of
outcomes of an event. (The Multiplication Rule might be useful
here)
- IIdentify and compute theoretical and empirical
probability.
- Identfify independent, dependent, overlappping and
non-overlapping events. You should be able to apply correctly the
following formulae:
- If A and B are indepentent events then P(A and B) =
P(A) x P(B)
- If A and B are dependent, P(A and B) = P(A) x P(B
given A)
- P(A or B) = P(A) + P(B) - P(A and B). (Can this
formula be simplified if A and B are non-overlapping?)
- P(at least one occurrence of A in n trials)= 1 -
[P(A)]n (You should review the conditins under which this
formula can be
applied).
- Understand and apply the Law of Large Numbers.
- Compute expected value, and understand the results.
- Understand the Gamble's Fallacy.
- Compute an understand when to apply each of the following.
- Number selections of r objects from a set of n objects
are there? nr
- Permutations
- Combinations
- "At least once" rule.
- Compute probabilities using all the counting methods we saw.
The midterm will consists in 7 or 8 problems, similar to the
problems listed below (Units 2A, 7A, 7B, 7C and 7E). No
calculators, books or notes will be
allowed. You should simplify your computationts (for instance, you
should write 360!/358! = 359x360 and NOT leave the expression
360!/358!) but it is not required to perform the product, 359 x 360.
(You can leave it indicated).
Sample midterm (this does not mean that the statement of the problems
of the actual midterm will be identical or extremely similar to that of
the ones listed below. It is just a guideline so you know the structure
and level of the exam.)
When
writing the answers to the midterm, make sure you explain how your
results were obtained. A numerical answer with no justification will
receive little or no credit.
- 2A 55 - 87
- 7A 39 - 61
- 7B 33- 51-66
- 7C 34 - 39
- 7E 35- 38- 41- 45- 62- 65
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