Exam P – Probability
3個單元 · 22個課題
免費的Exam P – Probability學習筆記，專為SOA (Society of Actuaries)學生準備。下列每個章節都涵蓋一個重點主題，附有例題與練習提示，可在 thinka 應用程式中延伸練習。
General Probability
Set functions, sample spaces, events, and axioms of probability
Combinatorial probability: combinations and permutations
Independence and probabilities of independent events
Mutually exclusive events
Addition and multiplication rules
Conditional probability
Bayes' Theorem and the law of total probability
Univariate Random Variables
Random variables, probability density functions, and cumulative distribution functions
Conditional probabilities for random variables
Expected values: moments, mode, median, and percentiles
Variance, standard deviation, and coefficient of variation
Insurance payments: deductibles, coinsurance, benefit limits, and inflation
Moments of the loss and payment amount random variables
Multivariate Random Variables
Joint probability and cumulative distribution functions (discrete)
Conditional and marginal probability functions (discrete)
Moments for joint, conditional, and marginal distributions
Variance and standard deviation for conditional and marginal distributions
Covariance and the correlation coefficient
Joint distribution of order statistics
Probabilities for linear combinations of random variables
Moments for linear combinations of random variables
The Central Limit Theorem
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