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 |
AP Statistics: Random Variables Flashcards
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