Verify that this is a valid probability distribution

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Question - Manufacturing and Product Development A cordless drill has several torque settings for driving different screws into different materials. A manufacturer models the torque setting required for a randomly selected task with a probability distribution given by

p(x) = (x-12)2/247   x = 1, 5, 10, 15, 20

a. Verify that this is a valid probability distribution.

b. Find the mean, variance, and standard deviation of X.

c. A torque setting is classified as rare if it is more than one standard deviation from the mean. Find the probability of a task requiring a rare torque setting.

Reference no: EM131744868

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