STAT 2507 Lecture Notes - Lecture 6: Cumulative Distribution Function, Victorian Railways T Class, Minitab
11 Oct 2015
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Stat 2507 chapter 5: several useful discrete distributions. Discrete random variables take on only a finite or countable infinite # of values. 3 discrete probability distributions serve as models for a large # of practical applications: binomial random variable, poisson random variable, hypergeometric random variable. The discrete uniform distribution: *diagram in lecture slide* Example: x = # that appears when rolling a die. x has equally likely possible values: x = 1, 2, 3, 4, 5, 6 w/ p(x) = 1/6 for all values of x. Bernoulli trial: experiment w/ only 2 possible outcomes (success, 1, or failure, 0), w/ positive probabilities p & 1-p. Examples: flipping coin, results of pregnancy (girl or boy, hitting target; outcome is hit or miss. The binomial random variable: *diagram in lecture slide* Coin-tossing experiment = simple example of binomial random variable. Toss fair coin n = 2 & record x = # of heads.
