Question: please solve Q. NO 1 Probability Distribution (Discrete Random Variable) The probability distribution of random variable X, that represent the number of defects per 20

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Q. NO 1 Probability Distribution (Discrete Random Variable) The probability distribution of random variable X, that represent the number of defects per 20 meters of a certain fabric in continuous rolls of uniform width, is given in the following table Table: 1 Lists the number of defects per 20 meters of a certain fabric X 0 1 2 3 4 P(x) 0.39 0.32 C 0.05 0.01 Find the probability that (a) Find the value of C? (b) not more than 2 defects would found in per 20 meters of this fabric. (c) at least 2 defects would found in per 20 meters of this fabric. (d) Compute the expected number of defects per 20 meters of this fabric. (e) Compute the standard deviation of the defects per 20 meters of this fabric. (D) Let the selling price of this fabric is related to X and defined by the function 'S(x) = 50-4x' in dollars. Compute the average expected sales per 20 meters of this fabric

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