Probability and Statistics - Die Throwing Experiment | MATH 1530, Lab Reports of Probability and Statistics

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DIE THROWING EXPERIMENT Experiment, Throw a fair die and record the number. Sample Space. S=(I,2,3,4,5,6) These are equally likely to happen. mples of n=3 Sample Sample Sample Ho. | No. 2 No. 3 etc, n=3 n=3 n=3 First throw Second throw Third throw X= X= X= mp) if = Sample Sample Sample No. 1 No. 2 Ho. 3 etc, n=6 n=6 n=6 First throw Second throw Third throw Fourth throw Fifth throw |_Sixth throw Ke X= X= Now record these averages along with your classmates’ on the attached histograms. Based on the class‘s histrograms, answer the following questions: {. Variability is a measure of how spread out the data is. Based on the histograms as n increases the vartability 1 (infact og = o/¥m) 2. Asn gets larger and larger, the sampling distribution of averages begins to look Ike the (This {s stated in the Central Limit Theroem and a “Rule of Thumb" {s to assume the distribution. distribution if n330 )