sample space = 1, 2, 3, 4
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When rolling a number cube (a six-sided dice) twice, the sample space consists of all possible outcomes from both rolls. Since each roll has 6 possible outcomes, the total number of outcomes for rolling the number cube twice is 6 x 6 = 36. The sample space would be {1-1, 1-2, 1-3, ..., 6-5, 6-6} representing all possible combinations of the two rolls.
The sample space is:11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33. 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66. P(Alana wins) = 1/36 if the dice are fair.
The variance of this data set is 22.611
Distribution would be centered at .14*128=17.92The standard deviation of the distribution would be root(n(p(p-1)))=root(128*.14*.86)=3.92571013Normal, unimodal
False. A sample which contains two elements whose index value is smaller than the sampling increment will never be chosen. For example, if the increment is 5, then you could choose 1, 6, 11, ... or 2, 7, 12, ... or 3, 8, 13, ... or 4, 9, 14, ... or 5, 10, 15, ... but the sample comprising 1, 3, 4, ... cannot be chosen.