Download Math 120 Formulas Chapter 4 Probability of the complement of

Math 120 Formulas Chapter 4 Probability of the complement of event A: Multiplication rules  A, B independent:  General: /
 General:
/
Additional Rules  A, B mutually exclusive:  General: Permutations Rule 
!
,
1
!
Combinations Rule 
!
,
!
!
Chapter 5  Mean of a discrete probability distribution: 

∑


∑
Standard deviation of a discrete probability distribution: For a binomial distribution: r is the number of successes in n trials, p = probability of success, q = probability of failure, 1
Binomial probability distribution: ,
Mean of a binomial probability distribution: 
Standard deviation of a binomial probability distribution: . Chapter 6 
Standard Score: 
Mean and standard deviation of ̅ ‐distribution: 
Standard Score for ̅ : ̅
and ̅
̅
√
√

Mean and standard deviation of ̂ distribution: Chapter 7  Confidence interval for : ̅


√
√
̅
and , where when is known 1 when is unknown with 
Confidence interval for where 
Confidence interval for ̂
5,
5: ̂
, independent samples: ̅
̂
where ̅
̅

when both and are known. 
when both and are unknown and min
̅
1,
, where 1 
Confidence interval for : ( 5,
where 
( 5,
5,
where 5 are all true. Sample Size for Estimating:  Means: 1
 Proportions: with preliminary estimate for :  Proportions: with no estimate for : Chapter 8: below are the sample test statistics 
̅
For when is known: √

For when is unknown: ̅
with 1 √

For where 
For paired differences , and are known: 5,
5: √
1