Statistics & Probability –
Complete Study Guide,
Review, Practice
Questions & Answers
Updated Questions and Answers
100% Verified Exam Prep and Comprehensive
Rationales
Included
, Factorials functions that can be performed on any non-negative integer
product of all positive integers less than or equal to the number
4!=4∗3∗2∗1
0!=1 since 3!=6; 2!=3!/3=2; 1!=2!/2=1; 0!=1!/1=1
Permutations order of elements are important
no element can be used more than once
r = items from a set
n = items in set
P = n! when finding n items from a set of n items
Permutations | Examples For set {1,2,3}
P = { 1, 2, 3, 1 2, 2 1, 1 3, 3 1, 2 3, 3 2, 1 2 3, 1 3 2, 2 1 3, 2 3 1, 3 1 2, 3 2 1}
P = n! = 3! = 6
nPr = 3 P 2 = 3!/(3-2)! = 6/1 = 6
Combinations order of elements DOES NOT matter
nCr = n!/ (r!(n-r)!)
r = items from a set
n = items in set
Combinations | Examples Set {1, 2, 3}
P = {1, 2, 3, 1 2, 1 3, 2 3, 1 2 3,} 1 3 = 3 1
Population entire collection of people, plants, etc. that data can be collected from
Parameter numerical value that give information about the population
Parameter Elements Mean
Median
Mode
Standard Deviation
Sample Portion of the entire population
Statistic numerical value that gives information about the sample
mean = x (bar on top)
Standard Deviation = s
Inferential Statistics branch of statistics that uses samples to make predictions about an entire
population
political polls, etc.
can have a large margin of error if you do not have a valid sample
Complete Study Guide,
Review, Practice
Questions & Answers
Updated Questions and Answers
100% Verified Exam Prep and Comprehensive
Rationales
Included
, Factorials functions that can be performed on any non-negative integer
product of all positive integers less than or equal to the number
4!=4∗3∗2∗1
0!=1 since 3!=6; 2!=3!/3=2; 1!=2!/2=1; 0!=1!/1=1
Permutations order of elements are important
no element can be used more than once
r = items from a set
n = items in set
P = n! when finding n items from a set of n items
Permutations | Examples For set {1,2,3}
P = { 1, 2, 3, 1 2, 2 1, 1 3, 3 1, 2 3, 3 2, 1 2 3, 1 3 2, 2 1 3, 2 3 1, 3 1 2, 3 2 1}
P = n! = 3! = 6
nPr = 3 P 2 = 3!/(3-2)! = 6/1 = 6
Combinations order of elements DOES NOT matter
nCr = n!/ (r!(n-r)!)
r = items from a set
n = items in set
Combinations | Examples Set {1, 2, 3}
P = {1, 2, 3, 1 2, 1 3, 2 3, 1 2 3,} 1 3 = 3 1
Population entire collection of people, plants, etc. that data can be collected from
Parameter numerical value that give information about the population
Parameter Elements Mean
Median
Mode
Standard Deviation
Sample Portion of the entire population
Statistic numerical value that gives information about the sample
mean = x (bar on top)
Standard Deviation = s
Inferential Statistics branch of statistics that uses samples to make predictions about an entire
population
political polls, etc.
can have a large margin of error if you do not have a valid sample
