{"id":3030,"date":"2019-06-28T15:46:47","date_gmt":"2019-06-28T15:46:47","guid":{"rendered":"https:\/\/analystprep.com\/study-notes\/?p=3030"},"modified":"2023-12-15T16:22:48","modified_gmt":"2023-12-15T16:22:48","slug":"syllabus-learning-outcomes","status":"publish","type":"post","link":"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/syllabus-learning-outcomes\/","title":{"rendered":"Exam P Syllabus &#8211; Learning Outcomes"},"content":{"rendered":"<h2>General Probability<\/h2>\n<p>1.a &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/general-probability\/define-set-functions-sample-space-and-events\/\" rel=\"noopener\" target=\"_blank\">Define set functions, Venn diagrams, sample space, and events. Define probability as a set function on a collection of events and state the basic axioms of probability.<\/a><br \/>\n1.b &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/general-probability\/calculate-probabilities-using-the-addition-and-multiplication-rules\/\" rel=\"noopener\" target=\"_blank\">Calculate probabilities using addition and multiplication rules.<\/a><br \/>\n1.c &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/general-probability\/define-independence-and-calculate-probability-of-independent-events\/\" rel=\"noopener\" target=\"_blank\">Define independence and calculate probabilities of independent events.<\/a><br \/>\n1.d &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/general-probability\/calculate-probabilities-of-mutually-exclusive-events\/\" rel=\"noopener\" target=\"_blank\">Calculate probabilities of mutually exclusive events.<\/a><br \/>\n1.e &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/general-probability\/define-and-calculate-conditional-probabilities\/\" rel=\"noopener\" target=\"_blank\">Define and calculate conditional probabilities.&nbsp;<\/a><br \/>\n1.f &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/general-probability\/calculate-probabilities-using-combinatorics-such-as-combinations-and-permutations\/\" rel=\"noopener\" target=\"_blank\">Calculate probabilities using combinatorics, such as combinations and permutations.<\/a><br \/>\n1.g &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/general-probability\/state-bayes-theorem-and-use-it-to-calculate-conditional-probabilities\/\" rel=\"noopener\" target=\"_blank\">State Bayes Theorem and the law of total probability and use them to calculate conditional probabilities.<\/a><\/p>\n<h2>Univariate Random Variables<\/h2>\n<p>2.a &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/univariate-random-variables\/explain-and-apply-the-concepts-of-random-variables\/\" rel=\"noopener\" target=\"_blank\">Explain and apply the concepts of random variables, probability, probability density functions, and cumulative distribution functions<\/a><br \/>\n2.b &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/univariate-random-variables\/calculate-conditional-probabilities\/\" rel=\"noopener\" target=\"_blank\">Calculate conditional probabilities<\/a><br \/>\n2.c &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/univariate-random-variables\/explain-and-calculate-expected-value-mode-median-percentile-and-higher-moments\/\" rel=\"noopener\" target=\"_blank\">Explain and calculate expected value, mode, median, Percentile, and higher moments.<\/a><br \/>\n2.d &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/univariate-random-variables\/explain-and-calculate-variance-standard-deviation-and-coefficient-of-variation\/\" rel=\"noopener\" target=\"_blank\">Explain and calculate variance, standard deviation, and coefficient of variation.<\/a><br \/>\n2.e &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/univariate-random-variables\/apply-the-concepts-of-deductibles-coinsurance-benefit-limits-and-inflation-to-convert-a-given-loss-amount-from-a-policyholder-into-the-corresponding-payment-amount-for-an-insurance-company\/\" rel=\"noopener\" target=\"_blank\">Apply the concepts of deductibles, coinsurance, benefit limits, and inflation to convert a given loss amount from a policyholder into the corresponding payment amount for an insurance company.<\/a><br \/>\n2.f &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/univariate-random-variables\/calculate-the-expected-value-variance-and-standard-deviation-of-both-the-loss-random-variable-and-the-corresponding-payment-random-variable-upon-the-application-of-policy-adjustments\/\" rel=\"noopener\" target=\"_blank\">Calculate the expected value, variance, and standard deviation of both the loss random variable and the corresponding payment random variable upon the application of policy adjustments.<\/a><br \/>\n2.g &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/univariate-random-variables\/determine-the-sum-of-independent-random-variables-poisson-and-normal\/\" rel=\"noopener\" target=\"_blank\">Determine the sum of independent random variables (Poisson and normal).<\/a><\/p>\n<h2>Multivariate Random Variables<\/h2>\n<p>3.a &#8211; <a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/multivariate-random-variables\/explain-and-perform-calculations-concerning-joint-probability-functions\/\" rel=\"noopener\" target=\"_blank\">Explain and perform calculations concerning joint probability functions and cumulative distribution functions for discrete random variables only.<\/a><br \/>\n3.b &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/multivariate-random-variables\/determine-conditional-and-marginal-probability-functions\/\" rel=\"noopener\" target=\"_blank\">Determine conditional and marginal probability functions for discrete random variables only.<\/a><br \/>\n3.c &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/multivariate-random-variables\/calculate-moments-for-joint-conditional-and-marginal-random-variables\/\" rel=\"noopener\" target=\"_blank\">Calculate moments for joint, conditional, and marginal random variables.<\/a><br \/>\n3.d &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/multivariate-random-variables\/calculate-variance-standard-deviation-for-conditional-and-marginal-probability-distributions\/\" rel=\"noopener\" target=\"_blank\">Calculate variance, standard deviation for conditional and marginal probability distributions.<\/a><br \/>\n3.e &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/multivariate-random-variables\/calculate-joint-moments-such-as-the-covariance-and-the-correlation-coefficient\/\" rel=\"noopener\" target=\"_blank\">Calculate joint moments, such as the covariance and the correlation coefficient.<\/a><br \/>\n3.f &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/multivariate-random-variables\/determine-the-distribution-of-order-statistics-from-a-set-of-independent-random-variables-2\/\" rel=\"noopener\" target=\"_blank\">Determine the distribution of order statistics from a set of independent random variables<\/a><br \/>\n3.g &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/multivariate-random-variables\/calculate-probabilities-and-moments-for-linear-combinations-of-independent-random-variables\/\" rel=\"noopener\" target=\"_blank\">Calculate probabilities and moments for linear combinations of independent random variables.<\/a><br \/>\n3.h &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/multivariate-random-variables\/calculate-moments-for-linear-combinations-of-independent-random-variables\/\" rel=\"noopener\" target=\"_blank\">Calculate moments for linear combinations of independent random variables.<\/a><br \/>\n3.i &#8211;&nbsp;<a href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/multivariate-random-variables\/state-and-apply-the-central-limit-theorem\/\" rel=\"noopener\" target=\"_blank\">State and apply the Central Limit Theorem.<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>General Probability 1.a &#8211;&nbsp;Define set functions, Venn diagrams, sample space, and events. Define probability as a set function on a collection of events and state the basic axioms of probability. 1.b &#8211;&nbsp;Calculate probabilities using addition and multiplication rules. 1.c &#8211;&nbsp;Define&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[90],"tags":[],"class_list":["post-3030","post","type-post","status-publish","format-standard","hentry","category-p-probability","blog-post","no-post-thumbnail","animate"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Exam P Syllabus - Learning Outcomes - CFA, FRM, and Actuarial Exams Study Notes<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/analystprep.com\/study-notes\/actuarial-exams\/soa\/p-probability\/syllabus-learning-outcomes\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Exam P Syllabus - Learning Outcomes - CFA, FRM, and Actuarial Exams Study Notes\" \/>\n<meta property=\"og:description\" content=\"General Probability 1.a &#8211;&nbsp;Define set functions, Venn diagrams, sample space, and events. 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