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An Introduction to the Binomial Distribution

An introduction to the binomial distribution. I discuss the conditions required for a random variable to have a binomial distribution, discuss the binomial probability mass function and the mean and variance, and look at two examples involving probability calculations. The estimated probability of a 90 year old Canadian male surviving for one year was taken from Statistics Canada life tables, which can be found at http://www.statcan.gc.ca/pub/84-537-x.... The probability given in the table is the estimated probability that a randomly selected Canadian male, given survival to his 90th birthday, survives until his 91st. I simplified this explanation a little in the example in the video. For those using R, here is the R code to find the probabilities for the examples in this video: Die roll example. Finding the probability of getting exactly two fives in three rolls: dbinom(2,3,1/6) [1] 0.06944444 Twenty randomly sampled 90-year old Canadian males example. Finding the probability that exactly 18 survive for at least a year: dbinom(18,20,.82) [1] 0.1729609 Finding the probability that at least 18 survive for at least a year: dbinom(18,20,.82)+dbinom(19,20,.82)+dbinom(20,20,.82) [1] 0.2747932 or 1-pbinom(17,20,.82) [1] 0.2747932