5-8 please You have a factory that manufactures a specific IC chips. You would l

Question

5-8 please You have a factory that manufactures a specific IC chips. You would like to run an inventory to determine the number of defected IC chips among the manufactured ones. Explain when you will be using the following distributions (i.e., build an experiment for each of the following distributions): 1. Bernoulli 2. Binomial 3. Poisson 4. Hypergeometric 5. Geometric 6. Negative Binomial 7. Multinomial 8. Normal For each of the aforementioned distributions, define your random variable and the mathematical formula for the distribution.

Explanation / Answer

5. Geometric random variable will denote the number of non-defective items produced before the first defective item occurs.

6. Negative binomial random variable will denote the number of non-defective items produced before k defective items

7. Multinomial random variable denotes the number of a particular kind of IC chip developed (when there are more than 2 such kinds of IC chips)

8. Normal random variable denotes the average number of defective IC chips produced in a large sampled data.

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