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It is known that 80% of all brand A external hard drives work in a satisfactory manner throughout the warranty period (are successes). Suppose that

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It is known that 80% of all brand A external hard drives work in a satisfactory manner throughout the warranty period (are "successes"). Suppose that n = 15 drives are randomly selected. Let X = the number of successes in the sample. The statistic X is the sample proportion (fraction) of successes. Obtain the sampling distribution of this statistic. [Hint: One possible value X is 0.2, corresponding to X = 3. What is the probability of this value (what kind of random variable is X)?] (Round your answers to three decimal places.) LO USE SALT X X p(X) O 0 0 0.067 0 N 0.133 0 W 0.200 0 A 0.267 0.001 0.333 004 X 0.400 0.012 X 0.467 035 X .533 0.081 X 9 0.600 0. 147 X 10 0.667 0.206 X 11 0.733 0.329 X 12 0.800 0.170 X 13 0.867 0.092 X 14 0.933 0.031 X 15 1.000 005 X

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