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AP Statistics: Chapter 8
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Terms in this set (29)
Binomial Setting
1) Each observation fall into "success/failure"
2) There is a fixed number of observations (n)
3) Each trial is independent
4) The probability of success is the same for every trial
p
Success
q
Failure, 1-p
Binomial Distribution
The distribution of the count X of sucesses in the binomial stting with perameters and p. The possible values of X are whole numbers 0-n
X
B(n,p)
Without replacement
Can't be binomial
Binomial in TI-89
(n, p, x)
Finding binomialpdf
1) Home screen
2) Catalogue
3) Flash app (#3)
Binomialpdf
Used in multiple steps (adding)
Binomialcdf
Used for inequalities, one step because it's a range
Binomialcdf in TI-89
(n, p, x1, x2)
Cumulative Distribution Fucntion
of a R.V., X calculates the sum of all the probabilities from one x-value to another x-value. It calculates the probability of obtaining at most X successes
Binomial coefficient
Successes = k
Binomial Probability Formula
P(X=#)
Binomialpdf
P(#<x<#)
Binomialcdf
Binomial: μ
np
Binomial: σ
Square root of: npq
A binomial distribution is a discrete set of #s, but can be approximated by a distribution (which is continuous if...
μ>10
nq>10
Geometric setting
1) Each observation fall into "success/failure"
2) Each trial is independent
3) The probability of success is the same for every trial
4) Looking for the occurrence of the first success
Geometric: P(X=n)
q^n-1(p)
Geometric: P(X>n)
q^n
Geometric: μ
1/p
Geompdf
(p,x)
"At most" is the compliment of
"More than"
"More than" is the compliment of
"At most"
"Expected" =
Find a mean
Geometric never has a set...
n
Geometric: P(X<n)
1-P(X>n) or 1-q^n
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