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Unformatted text preview: d) What is the name and parameters of the distribution of X? X has the binomial distribution with parameters n = 4 and = , i.e., X ~ B(4, ). e) Give reasons for your answer to part (e). i. There is a Bernoulli experiment with Success defined as selecting a family that has income above the median. ii. The experiment is repeated n = 4 times (selection of 4 families, assumed to be one at a time) iii. The repetitions are independent (random sampling guarantees that). iv. Probability of Success is since the median divides the population units into two equal parts. v. The random variable of interest counts the number of Successs, i.e., families that have income above the median. Hence X has the binomial distribution with parameters n = 4 and = , i.e., X ~ B(4, )...
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This note was uploaded on 04/04/2012 for the course STA 3032 taught by Professor Kyung during the Fall '08 term at University of Florida.
- Fall '08