A manufacturing process produces components which have a 1% chance of being defective. Successive components are independent.

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A manufacturing process produces components which have a 1% chance of being defective. Successive components are independent.

(a) Find the probability that it takes exactly 110 components to be produced before a defective one occurs.

(b) Find the probability that it takes at least 110 components to be produced before a defective one occurs.

(c) What is the expected number of components that will be produced before a defective one occurs?

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