This video covers some really important tips for how to solve binomial probability distribution word problems, starting with how to know which problems you should be doing this to in the first place! Also covered are tricky situations where you have to use the formula a few times for "or more" type problems, as in "if you flip a coin 5 times, what is the probability of getting 3 OR MORE heads?"
Binomial Probability Distribution Vocab
This video covers what all those letters in the Binomial Probability Theorem mean, from the p's and q's, to the x's and n's, to that giant backwards-E-looking thing they call Sigma. Also covered are what these problems mean by "success" and "failure" and "trials".
Binomial Probability Calculations Using Formula
This video is pretty long, but that's a good thing because it's so full of awesome examples! Plus it takes a long time to cancel all those crazy factorials (exclamation points). Whether you're in Stats, Algebra or Discrete Math, if you're in a section that has anything to do with "binomial probability" -- or if you just honestly happen to wonder what the probability is of getting between 5 and 7 heads if you flip a coin exactly 13 times -- this video is for you!
Binomial Probability Using Your Calculator
This video covers another batch of binomial probability word problems, but this time we use a calculator to do the fancy combinatorics stuff because the numbers are way too big to handle doing factorials by hand.
Mean & Expected Value of Binomial Distributions
This video covers the basic formula that quickly spits out the mean, a.k.a. "expected value", of a binomial distribution. Flipping coins or rolling dice, this formula quickly tells you how many heads or 5's you'd expect to get on average from n trials.
Variance & Standard Deviation of Binomial Distributions
This video covers the formulas for variance and standard deviation for a binomial distribution -- using nothing more than n, p, and q -- so that you can plug it into those "unusual value" problems.
Usual vs Unusual Events For Binomial Distribution
This is a common type of question which every book covers, every professor will ask at one point on a quiz or test, so definitely worth reviewing.
If you do not have an account, you should get one, because it is awesome! You can save a playlist for each test or each chapter, and save your "greatest hits" into a "watch right before the final" list (not that we recommend cramming, but when in Rome...)