Exam P – Probability

3个单元 · 22个章节

免费的Exam P – Probability学习笔记，专为SOA (Society of Actuaries)学生准备。下列每个章节都涵盖一个重点主题，附有例题与练习提示，可在 thinka 应用中延伸练习。

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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