4. Each LuXboard on a production line is defective with probability p 0.1 inde-

Question

4. Each LuXboard on a production line is defective with probability p 0.1 inde- pendent of others. We randomly select a sample of LuXboards and stop when we have 5 defective LuXboards. The number of total LuXboards in this sample is a a. Bernoulli random variable b. Binomial random variable c. Negative Binomial random variable d. Hypergeometric random variable e. Poisson random variable 5. A LuXboard emits a threshold voltage Vo at a mean rate of 10-6 s. The number of times it exceeds voltage Vo in a certain period of time is a a. Bernoulli random variable b. Binomial random variable C. Negative Binomial random variable d. Hypergeometric random variable e. Poisson random variable

Explanation / Answer

Q4)

Each LuXboard on a production line is defective with probability p = 0.1 independent of the others.

p = 0.1 which is fix,we randomly sample of LuXboard and stop when 5 defective Luxboard this is sample size is fix

therefore number of total LuXboard in this sample is a Binomial random variable.

Q5)

A LuXboard emits a threshold voltage Vo at mean rate of 10-6 s The number of times it exceeds voltage Vo in a certain period of time is a Poisson random variable because 10-6 = 0.000001 which is very rare.

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