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Q8-a) It is desired to check whether pinholes in electrolytic tin plate are uniformly distributed across a plated coil on the basis of the

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Q8-a) It is desired to check whether pinholes in electrolytic tin plate are uniformly distributed across a plated coil on the basis of the following distances in inches of 10 pinholes from one edge of a long strip of tin plate 30 inches wide: 4.8 14.8 28.2 23.1 4.4 28.7 19.5 2.4 25.0 6.2 Test the null hypothesis using Kolmogorov-Smirnov Test at the 0.05 level of significance. b) Suppose that X is a discrete random variable with the following probability mass function: where 0 0 1 is a parameter. The following 10 independent observations X 0 1 2 3 P(x) 20/3 0/3 2(1-0)/3 (1-0)/3 were taken from such a distribution: (3, 0, 2, 1, 3, 2, 1, 0, 2, 1). What is the maximum likelihood estimate of A?

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