An industrial process manufacture components with a 10% defective rate

An industrial process manufacture components with a 10% defective rate. Each day the process is subjected to a quality control inspection; products are inspected sequentially until the first defective is obtained.

(a) What is the probability that the first defective will occur in one of the first three components inspected?

(b) What is the probability that more than three components will be inspected before a defective is found?

(c) If three products have been inspected without finding a defective, what is the probability that the next three inspections will be free of defectives?

(d) What is number of inspections expected until first defective?