Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer manufacturer receives computer boards in lots of five. Three boards are selected from each lot randomly for inspection. If we number the boards 1, 2, 3, 4, and 5, a possible random selection is (2, 4, 5). a. List the ten different possible selections. b. Suppose that the boards 1 and 4 are the only defective boards in a lot of five. Three boards are to be chosen at random. Define X as the number of defective boards observed among those inspected. Find the probability distribution (pmf) of X.

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.