AP stat unit 3

how to find z score

(value-mean)/standard deviation

What calculator function is used for binomials

BinomPDF and BinomCDF

What calculator function do you use for geometric problems

GeoCDF

What is X is conditional probabilities

Given value that has already occurred

Equation for subtracting random variables

Mean of (X-Y) = MEan of X - Mean of Y. Or. SD(x-y) = square root (SDx^2 + SDy^2)

Equation for adding random variables

Mean of X + Mean of Y. Or . Standard Deviation (X+Y) = square root (SDx^2 + SDy^2)

What is the normal model

N( np,√np(1-p)

How to find the mean of a binomial probability

N(P)

How to find if the normal model can be used

Np >/= 10 and n(1-p) >= 10

If two things are independent

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

What is the addition rule for mutually exclusive events

P(A or B)= P(A) + P(B)

What is the addition rule for when events can happen concurrently

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

What is the equation for conditional probability

P(B|A) = P(A n B)/ P(A)

How to find standard deviation of a discrete random variable

Square root of (∑(xi-mean)^2 Pi)

What does a Bernoulli trial consist of

Two outcomes (success and failure), Independent, fixed probability of success and failure

What is expected value

mean

What is a conditional probability

the probability of an event given that another event has occurred

Formula to find weighted average of a discrete random variable

∑ Pi Xi = p1*x1 +p2*x2...Pi * Xi

How to find standard deviation of a binomial probability

√np(1-p)

What is a discrete random variable

A variable that can only take on a countable number if values.

What is the purpose of geometric probability

Find the probability of first success with no given amount of trials

What is the purpose of binomial probability

When given a certain number of trials, can find exact occurrences of success or less than or greater than