Question 1.

Suppose that a lot of size N=1D has been submitted for impaction. A rectiring single- sampling plan with sample size n=5 and acceptance number c=l is used. {a} Suppose the fraction non-conforming, or the lot quality, is p. 1What would be the probability of lot acceptance, Pa '3' Answer should take the form of a function of E {4 points] {b} Using the Pa derived in part (a), nd the condition which p should satisfy when ADO = [1.1. Please list only the equation from which the value of such p can be obtained. Calculation of the 1value of g is NOT necessa. (4 points} {c} Considering the equation dent-red in part [b], is it possible that Mo different incoming lot quality, p; and p2 result in the same AUG {1 point}? Please provide the reason by explaining the rectifying inspection (4 points}. {d} Now suppose the incoming lot quality p" is 0.15. Calculate ATI under p". {4 points]