Probability with R for Statistics and Data Science

سرفصل های دوره

Master common probability distributions using the R programming language - with 100+ coding problems included.

1 - Introduction

1 - Introduction

2 - Download R and RStudio.txt

2 - R Basics

2 - Bernoulli Random Variables

3 - Binary Random Variables Sample Space

4 - Simulating Bernoulli random variables with rbinom

5 - Parameters The population proportion

6 - Sample statistics mean for calculating sample proportions

7 - dbinom

3 - Binomial Random Variables

8 - Binomial random variables

9 - meanrbinom Law of Large Numbers

10 - Estimating probabilities with mean and rbinom

11 - dbinom intro

12 - Expected Value

13 - Variance and Standard Deviation

14 - cdf and pbinom

15 - Other types of inequalities and intervals

16 - Visualizing the cdf

17 - The median

18 - qbinom

19 - Problemsolving with qbinom

4 - Hypergeometric Random Variables

20 - Hypergeometric random variables

5 - Normal Random Variables

21 - Normal Random Variables and the empirical rule

22 - Empirical rule with rnorm

23 - dnorm and probability density functions pdfs

24 - pnorm

25 - qnorm

6 - Sums CLT Normal Approximations

26 - Expected value of sum

27 - Variance and standard deviation of sum

28 - The sum of normal random variables is a normal random variable

29 - Central Limit Theorem Normal Approximation to the Binomial Distribution

7 - Geometric Random Variables

30 - Geometric Random Variables

31 - rgeom

32 - dgeom and the pmf of geometric random variables

33 - Expected Value and Standard Deviation

34 - CDFs and pgeom

35 - Inverse cdf quantiles qgeom

8 - Negative Binomial Random Variables

36 - Negative Binomial Random Variables

37 - rnbinom

38 - dnbinom

39 - Mean and standard deviation

40 - pnbinom

41 - qnbinom

42 - Normal Approximations to the negative binomial

9 - Exponential Random Variables

43 - Exponential Random Variables

44 - rexp

45 - dexp

46 - Expected value and standard deviation

47 - pexp and memorylessness

48 - qexp

10 - Gamma Random Variables

49 - Gamma Random Variables and rgamma

50 - Expected Value and Standard Deviation

51 - dgamma and pgamma

52 - qgamma

53 - Normal approximation to the gamma distribution

11 - Poisson Random Variables

54 - Poisson Random Variables and rpois

55 - dpois

56 - Mean and Standard Deviation

57 - ppois

58 - qpois

59 - Different time periods Sums of Poisson Random Variables

60 - Normal Approximation

12 - Uniform Random Variables

61 - Uniform Random Variables dunif

62 - Mean and standard deviation

63 - punif

64 - qunif and the inverse transform method

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