Logic Truth Tables
Set Operations
Three­circle Venn Diagrams Union Rule
Sample Spaces and Events
Probability Distributions
Mutually Exclusive Events
Complement Rule
Odds
Probability Trees,
Probabilities using a Tree Diagram Independent events
Baye's Theorem
...
Multiplication Principle Permutations, combinations
tasks T1, T2, T3,... can be performed in n1, n2, n3,.... ways 4,7,10,12,29,56,57,87,
Permutations of Non­distinct Objects, Permutations 104,117,144,54,55,79,
and Combinations (“at least” or “at most”)
118,119,121,122
Probability of an Event in number o f outcomes in E
n(E)
a Sample Space
P(E) = ------------------------------- = -------
number o f outcomes in S
Bernoulli Trials
(with two outcomes (“success” and “failure
42,58,59,75,76,124,132,
134
n(S)
binompdf(n,p,r) (r = the exact number of successes
you want)
binomcdf(n,p,m) computes P(0 ≤X ≤ m), m = the maximum number of successes you want
66
65,78,128,131,148
Classification of Random finite discrete,infinite discrete, or continuous
Variables
Random Variables and Histograms
Average, or Mean,Expected Value,Median,Mode,
43,105,138,145
Variance,Standard Deviation
Expected Value
Chebychev’s Inequality
137
P(μ −k σ≤X ≤ μ +k σ ) ≥ 1−1/k^2
20,67,102
30
Normal Distribution
The standard normal random variable Z has mean 0 and standard deviation 1
P(a < Z < b) ­ normalcdf(left endpoint, right
endpoint, mean, standard deviation)
P(Z < z)= a - invNorm(probability, mean,
standard deviation).
....
....
Simple Interest
Continuous
Compounding of
Interest
Compound Interest
Effective Rate of
Interest
Annuities(including
amortization tables,
iterest paid/earned etc.)
Systems of Equations
rref
Word Problem
Matrices
operations(sum, transposition, multiplication by
scalar, product), dimensions, matrix equations
Inverse matrices
......
.......
......
Markov Chains
transition matrix , initial state , distribution after a
certain number of steps
Steady-state
Distribution(including
regular matrix)
Absorbing Markov
Chains
.....
.....
absorbing process, long-term behavior
97,113,44,46,52,68,69,8
3,84,112