Question: Problem 2.5 A quality control engineer observes that a printed circuit board with i defects (i = 0, 1, 2, 3, 4) seems to occur

Problem 2.5 A quality control engineer observes that a printed circuit board with i defects (i = 0, 1, 2, 3, 4) seems to occur with a frequency inversely proportional to i + 1; that is, the sample space corresponding to this experiment consists of the finite set of points S = {s0, s1, s2, s3, s4}, where si is the event that the circuit board has i defects and P(si) = c/(i + 1), i = 0, 1,... 4.

(a) Compute the constant

c. Hint: Use Equation 2.6 to derive an equation for

(b) What is the probability that a circuit board has no defects? at least one defect?

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