| source: knowledge_base | |
| topic: statistics | |
| class_level: class_11 | |
| difficulty: intermediate | |
| Statistics and Probability: | |
| Mean=sum(x)/n. Variance=sum((x-mu)^2)/n. SD=sqrt(variance). | |
| P(A∪B)=P(A)+P(B)-P(A∩B). P(A|B)=P(A∩B)/P(B). | |
| Bayes: P(A|B)=P(B|A)*P(A)/P(B). | |
| Binomial: P(X=k)=C(n,k)*p^k*(1-p)^(n-k). | |
| CLT: sample means approach normal distribution as n increases. |