Exam P is a threeâ€“hour multipleâ€“choice examination and is offered via computerâ€“based testing (CBT). Itâ€™s the first step toward being an actuary.

The syllabus for Exam P develops the candidateâ€™s knowledge of the fundamental probability tools for quantitatively assessing risk. The application of these tools to problems encountered in actuarial science is emphasized. A thorough command of the supporting calculus is assumed. Additionally, a very basic knowledge of insurance and risk management is assumed.

Candidates are expected to spend more than 300 hours studing and practice on this exam. The pass rate is around 45%

This course is taught by Yodharin Monplub. Professor Yodharin Monplub has an almost ASA qualification from the SOA, with only FAP left. The following are his exams qualification:

SOA: P FM IFM SRM STAM LTAM

CAS: 1 2 3/F MAS1 MAS2

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At a young age of 22, he is now a full time teacher with over 4 years of teaching experience.

**There are 7 sections on this exam.**

This will cover all of exam P syllabus

- Exam P Section 1 Basic probability, Conditional probability, Independence, Combinatoric and Permutation
- Exam P Section 2 Random variable, PDF and CDF
- Exam P Section 3 Expectation and Variance
- Exam P Section 4 Frequently use discrete distribution
- Exam P Section 5 Frequently use continuous distribution
- Exam P Section 6 Joint, Marginal and Conditional distribution
- Exam P Section 7 Transformation of variable

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**Practice Questions**

Many practice questions to prepare students for exam P. The difficulty is similar to the real exam P sitting.

### Basic probability, conditional probability, independence and combinatoric

Event and Venn Euler.mp4

Union of events

intersect of events

Mutually exclusive outcome

Complement of event

Subset and subevent

Independent of event A and B

Conditional probability 1

Conditional probability 2

Conditional probability 3 4

Conditional probability 5 6

Conditional probability 7

Conditional probability 8 9

Conditional probability 10 11

Permutation

Combinatoric

Permutation with duplicate objects

Quiz for section 1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

### Random variable, PDF and CDF

Random variable

Discrete 1

Discrete 2

Discrete 3

Discrete 4

Continuous 1

Continuous 2

Property of continuous distribution

CDF and Survival function 1

CDF and Survival function 2

Hazard rate

Hazard rate question 1

Hazard rate question 2

Hazard rate question 3

Relationship between function

Quiz

Quiz 1 and 2

Quiz 3

Quiz 4

Quiz 5

### Expectation and variance

Expected value

Expected value of h(x)

Moments of random variables

Quiz

Quiz Question 1

Quiz Question 2

Variance

Variance question 1

Variance question 2

Variance property

Moment generetion function

Moment generation function

Moment generation function

Probability generation function

Percentile

Percentile

Percentile discrete

Mode

Minimun of variables

Minimun of variables

Maximun of variables

Input and Output

Important notes

Quiz

Quiz Question 1

Quiz Question 2

Quiz Question 3

Quiz Question 4

### Frequently use discrete distribution

Discrete Uniform Distribution

Discrete Uniform Distribution

Binomial Distribution

Binomial Distribution

Binomial Distribution

Binomial Distribution Expect and variance

Binomial Distribution question 1

Binomial Distribution question 2

Poisson Distribution

Poisson Distribution question 1 2 3

Poisson Distribution question 4

Poisson Distribution property

Geometric Distribution

Geometric Distribution question 1 2

Negative binomial Distribution

Negative binomial expect and variance

Negative binomial question 1

Hypergeometric Distribution

Multinomial Distribution

Quiz

Question 1

Question 2

Question 3

Question 4

### Frequently use continuous distribution

Uniform Distribution

Uniform Distribution question 1

Normal Distribution

Z-table

Z-table question

Z-table question

Z-table question

Normal approximation

Normal approximation question 1

Normal approximation question 2

Normal approximation question 3

Central Limit Theorem

Exponential distribution

Exponential Distribution question 1

Exponential Distribution question 2

Exponential lack of memory property

Exponential lack of memory property

Exponential lack of memory property

Link between Poisson and Exponential distribution

Link between Poisson and Exponential distribution

Minimun of collection of exponential distribution

Exponential Distribution quesiton 1 2

Exponential Distribution question 3

Gamma Distribution

Quiz

Quiz question 1

Quiz question 2 and 3

Quiz question 4

### joint, marginal and conditional distribution

Joint Distribution

Joint Distribution

Joint Distribution question

Double integration

Double integration question

Double integration question

Double integration question

Double integration question

Double integration question

Expectation of H(X)

Expectation of H(X) question

Expectation of H(X) question

Expectation of H(X) question

Joint Distribution question

Marginal Distribution

Marginal Distribution question

Marginal Distribution question

Marginal Distribution question

Independent of event

Independent of event question

Independent of event question

Independent of event question

Independent of event question

Expect value from joint and marginal

Expect value from joint and marginal

Conditional probability

Conditional probability

Conditional probability

Conditional probability

Double expectation rule

Double expectation rule

Double expectation rule

Double expectation rule

Covariance, Correlation and Variance

Covariance and Correlation question

Covariance and Correlation question

Covariance and Correlation question

Moment generation function of joint

### Transformation of variable

one-to-one transformation

one-to-one transformation

one-to-one transformation

one-to-one transformation

one-to-one transformation

Two-to-one transformation

Two-to-one transformation

Order statistic