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.