Advance Quality for Engineers Assignment | 1) A Manufacturing process produces thousands of semi-conductors chips per day. On the average, 1% of these chips do not conform to the specifications. Every hour, an inspector selects a random sample of 25 chips and classifies each chip in the sample as conforming or non-conforming. If we let x be the random variable representing the number of non-conforming chips in the sample, then what is the probability distribution of x?why? 2) The diameter of a metal shaft used in a disk-drive unit is normally distributed with mean 0.2508 in. and standard deviation 0.0005 in. the specifications on the shaft has been established as 0.2500 0.0015in. what fraction of the shafts produced conform to specifications? 3) The time to failure for an electronic component used in a flat panel display unit is satisfactorily modeled by a Weibull distribution with B-1/2 and 0-5000.Find the mean time to failure and the fraction of components that are expected to survive beyond 20,000 hours. 4) A product developer is interested in reducing the drying time of a primer paint. Two formulations of the paint are tested; formulation I is the standard chemistry, and formulation 2 has a new drying ingredient that should reduce the drying time. From experience, it is known that the standard deviation of drying time is eight minutes, and this inherent variability should be unaffected by the addition of the new ingredient. Ten specimens are painted with formulation I and another ten specimens are painted with formulation 2; the 20 specimens are painted in random order. The two-sample average drying times are X1-121 min and X2-112 min, respectively. What conclusions can the product developer draw about the effectiveness of the new ingredient, using a =0.05? Hardwood 1 2 3 4 5 6 Totals averages Conc % 5 7 8 15 11 9 10 60 10.00 10 12 17 13 18 19 15 95 15.67 15 14 18 19 17 16 18 102 17.00 20 19 25 22 23 18 20 127 21.17 383 15.96 Use the analysis of variance to test the hypothesis that different concentrations do not affect the mean tensile strength of the paper. 5) The data shown in Table 6E.3 are the deviations from nominal diameter for holes drilled in a carbon-fiber composite material used in aerospace manufacturing. The values reported are deviations from nominal in ten-thousandths of an inch.