AP Stats-Chapter 6 Flashcards
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5831411564 | random variable | takes numerical values that describe the outcomes of some chance process | 0 | |
5831414973 | probability distribution | gives the random variable possible values and their probabilities | 1 | |
5831428517 | Discrete random variable | X takes a fixed set of possible values with gaps between | 2 | |
5831434586 | Mean (expected value) of a discrete random variable | multiply each possible value by its probability, then add all the products | 3 | |
5831437817 | continuous random variable | X takes all values in an interval of numbers | 4 | |
5831440797 | independent random variables | If knowing whether any event involving X alone has occurred tells us nothing about the occurrence of any event involving Y alone and vice versa. | 5 | |
5831444186 | binomial setting | Arises when we perform several independent trials of the same chance process and record the number of times that a particular outcome occurs; 4 conditions must be met (BINS) | 6 | |
5831452463 | B in BINS or BITS | B-binary (classify each outcome as success or failure) | 7 | |
5831455072 | I in BINS or BITS | I-Independent trials (one trial must not influence the next trial) | 8 | |
5831456731 | N in BINS | N-Number of trials is fixed | 9 | |
5831458268 | S in BINS or BITS | S-Success (there is the same probability of success on each trial) | 10 | |
5831460313 | Binomial random variable | The count X of successes in a binomial setting | 11 | |
5831462755 | Binomial Distribution | The probability distribution of a binomial random variable. | 12 | |
5831475115 | binomial coefficient | the number of ways of arranging k successes among n observations; n choose k | 13 | |
5831481726 | mean of binomial random variable | np, where n is the number of trials and p is the probability of success | 14 | |
5831484513 | standard deviation of binomial random variable | square root of (np)(1-p), where n is the number of trials and p is the probability of success | 15 | |
5831489281 | 10% condition | n ≤ (1/10)N | 16 | |
5831492206 | Large Counts condition | np>=10 and n (1-p)>=10 | 17 | |
5831504460 | Geometric Setting | arises when we preform independent trials of the same chance process and record the number of trials it takes to get one success, 4 conditions must be met (BITS) | 18 | |
5831511288 | T in BITS | T-Trials (the number of trials it takes to get one success) | 19 | |
5831516508 | Geometric Random Variable | The number of trials Y that it takes to get a success in a geometric setting | 20 | |
5831517481 | Geometric Distribution | the probability distribution of a geometric random variable | 21 | |
5831530293 | mean of a geometric random variable | the expected number of trials required to get the first success is 1/p where p is the probability of success | 22 |