STA 13 Lecture 11: stat 13: 2/3/17
Document Summary
Variable = side it lands (heads or tails) To define a random variable it has to be numeric. Arbitrary choice to assign x=1 to heads rather than tails. P(x=1) = p and p(x=0) = (1-p) We can write this probability distribution in a compact form. Capital x means the random variable x. Small x is a number that is a possible value of the random variable. But you should think about the probability distribution for a discrete random variable as being simply a list of all possible values of x and the corresponding probabilities. Support= set of possible values for random variable. *you don"t need to know definition of support for exams. Any random variable with support {0,1} is a bernoulli variable and is also a special case of a binomial variable (defined soon) Is read as is distributed as . = (1-p) [(cid:4666)(cid:882) (cid:4667)(cid:2870)+ (1-p)p] (this step is pulling common factor (1-p) out of 2 terms.
