20. Consider the system of components connected as in the diagram given below. C

Question

20. Consider the system of components connected as in the diagram given below. Components 1 and 2 are connected in parallel, so that subsystem works if and only if either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. Components work independently of one another. For the system to work, it is sufficient that one of the subsystems works. It is given that: P(component 1 works) p, P (component 2 works) q, P (component 3 works) v, P(component 4 works) r. What is the probability that the system works? 21. Each Luxboard on a production line is defective with probability p 0.1 independent of others. We randomly select a sample of Luxboards and stop when we have 5 defective Luxboards. Which random variable defines the number of Luxboards that are not defective in this sample? a. Bernoulli random variable b. Binomial random variable c. Negative Binomial random variable d. Hypergeometric random variable

Explanation / Answer

20) Answer is c (1-[(1-p)(1-q)(1-vr)]

21) Answer is a (Bernoulli)

22)Answer is e (Poisson)

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