6.1 Discrete Random Variables Flashcards
random variable
a numerical outcome of a probability experiment
discrete random variables
random variables whose possible values can be listen (e.g. number that comes up on the roll of a die, number of siblings a randomly chosen person has)
continuous random variables
random variables that can take on any value in an interval (e.g. the height of a randomly chosen college student, amount of electricity used to light a randomly chose classroom)
probability distribution
for a discrete random variable, specifies the probability for each possible value of the random variable (must add up to 1)
mean of a random variable
provides a measure of center for the probability distribution of a random variable
mean on the TI-84 plus
1) enter the values of the random variable into L1 and the associated probabilities in L2. 2) press STAT and highlight the CALC menu and select 1-Var stats and enter L1, comma, L2 and run the command
Expected value
used to predict how much they are likely to gain or lose from a decision. Often done by computing the mean of a random variable, deeming its name expected value or E(X)
Variance and standard deviation measure spread
of a random variable, measure the spread in a probability distribution
Finding mean and standard deviation in calc that has stat wizards
1) put data in L1 and L2. 2)stats command and 1-vars, L1 in list and L2 in the frequency list