You have a factory that manufactures a specific IC chips. You would like to run

Question

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

1) We use bernoulli distribution when chips to be checked are 1 only i.e n=1

2) Binomial is used when chips to be checked are more than 1 i.e. n>1 and probability is constant

3) Poisson is used when rate of arrival of defective or non defective chips is given and is constant

4) hypergeometric will bw used to find k successes in n draws, without replacement, from a finite population of size N that contains exactly K successes.example finding 6 defective peices from 10 draws when defective peices are 20 and total prices are 100.here k=6, n=10, K=20, N=100

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