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19 Cards in this Set

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Independent Events

P(A n B) = P(A)*P(B)


Dependent events if not equal.

Mutually Exclusive

P(A n B) = 0

Nothing in common

Parallel circuit

P(A u B)

Series circuit

P(A n B)

Binomial pdf


binopdf(x,n,p) = ?

P(x=[])


X=0,1,2,...,n


Probability at x

Binomial cdf


binocdf(x,n,p) = ?

P(x <= [])


X=0,1,2,...,n


Adds up the probabilities


To the left of x, including at x

Two ways to find P(L <= x <= U)

binocdf(U,n,p) - binocdf(L-1,n,p)


Or


sum(binopdf(L:U,n,p)) **best**

f(x) represents a _______ _______

Continuous pdf

F(x) represents the _____


How are f(x) and F(x) related?

Cdf


F(x) is the integral of f(x)

If told.... P(X > x) = .7


How would you solve for x?

F(x) = .3


.3 because it wants area to the right, P(X>x)

P(A u B)

P(A) + P(B) - P(A n B)

Z = (matlab function)

norminv(area to the left) = z

Central Limit Theorem

Case 1: If population is normal, sample is normal


Case 2: If population is uniform or exponential, sample (n>=30) is normal


mu=mu


sigma=sigma/sqrt(n)

Population def

Entire group of individuals of interest.

Sample def

Subset of a population.

Parameter def

Numerical measurement that is taken from a Population


Parameter — Population

Statistic def

Numerical measurement that is taken from a Sample.


Statistic — Sample

PDF def

A function that describes how probabilities are distributed over the values of a random variable.

Sampling distribution def

Probability distribution of a statistic obtained through a large number of samples