Formulas
Measures of Center and Variation
Actuarial Science
Potpurri
Distributions
100

Var(X1 + X2) - Do not assume independence 

What is Var(X1) + Var(X2) + 2Cov(X1,X2)

100

Also known as the average

What is mean

100

Formula for annuity-due

What is [1-(v^n)]/d

100

A boxplot is comprised of a box and these items that are also found on dog's face.

What are whiskers.

100

X ~ Gamma(a, b). Var(X) is this.

What is a(b^2)

200

Variance of Uniform(a,b) Distribution

What is (b-a)2/12

200

3Q - 1Q

What is Interquartile Range

200
Professor of the Life Contingencies I and Life Contingencies II course

Who is Elias Shiu

200

Name two data analysis programs/software

What is SAS, Minitab, Tableau, R, Excel, R

200

Geometric and Exponential distributions have this property

What is memoryless

300
Pr(A|B)

What is P(A and B)/P(B)

300

No statistic has more occurrences than this value.

What is mode.

300

Term for a specified amount of money insured must pay before insurer will pay claim

What is a deductible

300

The phrase indicated by MGF

What is the moment generating function?

300

Variance of a Binomial(n, p) distribution

What is np(1-p)

400

Pdf of a Poisson(v) distribution

What is f(x) = [e-v * vx]/x!

400

An outlier can have a huge effect on this measure.

What is mean.

400

Name two companies that produce study manuals for actuarial exams

What is ASM, ACTEX, Coaching Actuaries, Infinite Actuaries, etc

400

A sum of iid exponential variables follows this distribution

What is a gamma distribution?

400

This distribution is also called the Student's Distribution

What is the t-distribution?

500

Law of Total Variance

What is Var(X) = E(Var(X|Y)) + Var(E(X|Y))

500

This phrase is indicated by MSE

What is Mean Squared Error

500

As of February 2020, there are this many ASA exams

What is seven?

500

If a statistic is an unbiased estimator for a parameter, the statistic's mean squared error (MSE) is equal to...

What is the statistic's variance

500

X ~ Negative Binomial(1, b). X also has this distribution.

What is Geometric(b)

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