# AP Statistics final section III

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### If you can do one task n number of ways and a second m number of ways, then both tasks can be done in n*m ways.

Multiplication principle

### The P(A) of any event is between 0 and 1 (inclusive)

Probability rule 1

### If S is the sample space in a probability model, then P(S)=1

Probability rule 2

### Two events A and B are disjoint if they have no outcomes in common. P(A or B)=P(A)+P(B)

Probability rule 3

### the complement of A is 1-P(A)

Probability rule 4

### P(A and B) = P(A)*P(B)

Multiplication rule for independent events

### P(A or B) = P(A)+P(B) - P(A and B)

General addition rule for unions of two events

### P(B|A) = P(A and B)/P(A)

Conditional probability

### if P(B|A) = P(B)

Independent events

### random variable with either a finite (whole) number value or a countable number

Discrete random variable

### takes all values in an interval of numbers, described by a density curve.

Continuous random variable

### mean of X = multiply each possible value by its probability and then add it up

Mean of a discrete random variable

### variance of x = (x1-mean)^2p1...(xi-mean)^2pi

Variance of a discrete random variable

rule 1 for means

rule 2 for means

### bcdf(n, p, k)

bcdf on calculator

mean of binomial

### Sx=sqrt(npq)

std. dev of binomial

### gcdf(p,n)

gcdf on calculator

### mean = 1/p

Mean of geometric random variable

### q/p^2

std. dev of geometric random variable

### P(X>n) = q^n

probability of more than n trials before success

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