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A Calculus-based introduction to probability and the application of mathematical principles to the collection, analysis, and presentation of data. Modern probability concepts, discrete/ continuous models, and applications; estimation and statistical inference through modern parametric, nonparametric, and simulation/randomization methods; maximum likelihood; Bayesian methods. This course prepares students for the preliminary P/1 exam of the Society of Actuaries and Casualty Actuarial Society.
Introduction to RFree
In this lab, you'll learn the basics of R. You'll use R as a calculator and then assign some variables.
Vectors and Data FramesFree
In this lab, you'll learn how to create and access vectors and data frames in R.
Intro to Statistical InferenceFree
After completing this chapter, you'll be able to simulate simple experiments to estimate and interpret p-values.Load the0 xpSimulate a coin toss0 xpFlip a coin multiple times0 xpWhat does this do?0 xpCounting heads (results from our simulation)0 xpDetermining likelihood of our null hypothesis0 xpWhat does a p-value represent?0 xpWhat can we conclude from a p-value?0 xpDetermining likelihood of our null hypothesis (2)0 xpLast p-value from the dolphin study0 xpYour turn: Randomization-based inference0 xpInterpreting a p-value.0 xpSexism in bank promotions0 xpReplicating the promotion data0 xpPromotion data p-value estimation0 xp
Probability & CountingFree
After completing this chapter, you'll be able to simulate simple experiments to estimate probabilities.Activity #2, Question #5: Running proportion of heads0 xpQuestion 7: Probability model for number of heads in 3 tosses0 xpQuestion 8: Rolling two dice and getting a sum of 70 xpQuestion 11: Guessing answers to a 10-question true/false quiz.0 xpQuestion 14: What's in a name?0 xpWhat's in a name? (2)0 xpWhat's in a name? (3)0 xpQuestion 15: Arranging the letters ABCD0 xpSampling with or without replacement.0 xpQuestions 16-25: Combinations and Permutations0 xpQuestion 31: Choosing students to fail0 xp
Counting & Permutation TestsFree
After completing this chapter, you'll be able to apply counting rules to estimate likelihoods.Activity #3, Questions #1-40 xpUsing a simulation approach0 xpPrediction...0 xpQuestions 8-13: Guessing answers to test questions0 xpCalculate the probability...0 xpQuestions 14-16: Random babies.0 xpYour turn: Question #17.0 xpQuestions 18-20: Contagious yawns0 xpWhat can we conclude from this p-value?0 xpQuestions 21-28: Does the drug make you faster?0 xpWhat can we conclude from this p-value? (2)0 xp
After completing this chapter, you'll be able to calculate probabilities under the Binomial Distribution.
After completing this chapter, you'll be able to calculate probabilities under the Binomial Distribution.Question #1: You are looking for a free agent who can hit .300.0 xp10-question quiz simulation0 xpUsing the binomial distribution0 xpDolphins, revisited0 xpDolphins, revisited (again)0 xpBlindfolded pigeons (questions 27-30 in the activity)0 xpWhat can we conclude from this p-value?0 xpCalculate the probability...0 xp