AP Statistics: Random Variables Flashcards

12972337129	probability model	describes the possible outcomes of a chance process and the likelihood that the outcomes will occur	0
12972337130	random variable	takes the numerical values that describe the outcome of some chance process	1
12972337131	discrete random variable	takes a fixed set of possible values with gaps between; listing out all possible outcomes for a random variable and assign probabilities to each one	2
12972337132	mean (expected value) of a discrete random variable	multiple each value by its probability, then add all the products	3
12972337133	variance of a discrete random variable	σ²=∑(xi-µx)²×P(xi)	4
12972337134	continuous random variable	takes on all the values in an interval of numbers; described as a density curve; infinitely many possible outcomes;	5
12972337135	Add (a) to center and location Does not change the shape or measure of spread	What happens when adding or subtracting a constant (a) from an observation?	6
12972337136	Multiplies (or divides) center and location by b Multiplies (or divides) spread by abs value of b Does not change the shape	What happens when multiplying or dividing a constant (b) from an observation?	7
12972337137	mean of the sum of random variables	the mean of the sum of several random variables is the sum of the variables' means	8
12972337138	variance of the sum of random variables	the variance of the sum of several random variables is the sum of the variables' variances	9
12972337139	independent	You can add variances only if the events are _________.	10
12972337140	Standard deviations	You can never add ______.	11
12972337141	binomial setting	--several independent trials of the same chance process --and record the number of times that a particular outcome occurs	12
12972337142	Binary: possible outcomes of each trial can be labeled success or failure Independent: trials must be independent Number: fixed number of trials Success: same probability of success on each trial	BINS???	13
12972337143	binomial coefficient	all the possible arrangements of k successes among n trials	14
12972337148	mean of binomial random variable		15
12972337149	standard deviation of binomial random variable		16
12972337144	10% Condition	When sampling without replacement the population size must be at least ten times the sample size.	17
12972337145	geometric setting	--we perform independent trials of the same chance process --we record the number of trials it takes to get 1 success	18
12972337147	10	the expected number of successes and failures are both at at least _______.	19