Probability and statistics
We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it!
Independent and dependent events
Introduction to probability. Independent and dependent events. Compound events. Mutual exclusive events. Addition rule for probability.
Probability and combinatorics
Permutations and combinations. Using combinatorics to solve questions in probability.
- Statistical studies (13 videos)
Measures of central tendency and dispersion. Mean, median, mode, variance, and standard deviation.
Random variables and probability distributions
Random variables. Expected value. Probability distributions (both discrete and continuous). Binomial distribution. Poisson processes.
Fitting a line to points. Linear regression. R-squared.
Making inferences based on sample data. Confidence intervals. Margin of error. Hypothesis testing.