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AP Statistics: Random Variables Flashcards

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12972337129probability modeldescribes the possible outcomes of a chance process and the likelihood that the outcomes will occur0
12972337130random variabletakes the numerical values that describe the outcome of some chance process1
12972337131discrete random variabletakes a fixed set of possible values with gaps between; listing out all possible outcomes for a random variable and assign probabilities to each one2
12972337132mean (expected value) of a discrete random variablemultiple each value by its probability, then add all the products3
12972337133variance of a discrete random variableσ²=∑(xi-µx)²×P(xi)4
12972337134continuous random variabletakes on all the values in an interval of numbers; described as a density curve; infinitely many possible outcomes;5
12972337135Add (a) to center and location Does not change the shape or measure of spreadWhat happens when adding or subtracting a constant (a) from an observation?6
12972337136Multiplies (or divides) center and location by b Multiplies (or divides) spread by abs value of b Does not change the shapeWhat happens when multiplying or dividing a constant (b) from an observation?7
12972337137mean of the sum of random variablesthe mean of the sum of several random variables is the sum of the variables' means8
12972337138variance of the sum of random variablesthe variance of the sum of several random variables is the sum of the variables' variances9
12972337139independentYou can add variances only if the events are _________.10
12972337140Standard deviationsYou can never add ______.11
12972337141binomial setting--several independent trials of the same chance process --and record the number of times that a particular outcome occurs12
12972337142Binary: 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 trialBINS???13
12972337143binomial coefficientall the possible arrangements of k successes among n trials14
12972337148mean of binomial random variable15
12972337149standard deviation of binomial random variable16
1297233714410% ConditionWhen sampling without replacement the population size must be at least ten times the sample size.17
12972337145geometric setting--we perform independent trials of the same chance process --we record the number of trials it takes to get 1 success18
1297233714710the expected number of successes and failures are both at at least _______.19

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