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What is the sample space of rolling a number cube twice?
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.
Find the sample space the find the indicated probability. Alana tosses 2 number cubes. She wins if she rolls double sixes. Find P(Alana wins.)?
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.
What is the variance with sample data set 9 14 19 16 8 6 17 11 18?
The variance of this data set is 22.611
Statistics HELP Electrical problems affect about 14 percent of new cars an automobile mechanic conducts diagnostic tests on 128 new cars. Describe the sampling distribution for the sample proportion?
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
When taking a systematic random sample of size n every group of size n from the population has the same chance of being selected True or False?
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.
