Mrs. Chauvet has an unfair number cube that lands with 6 facing up 40% of the time. Let X = the number of times that she rolls a 6 among 3 trials. Here is a binomial probability table for this setting. X 0 1 2 3 P(X) 1(0.6)3 3(0.4)(0.6)2 3(0.4)2(0.6) 1(0.4)3 Find each probability. Enter your answer to 3 decimal places. P(X < 1) = P(X ≤ 1) =

Aquality characteristic of new iphone x made at the amsterdam plant at apple computers has a manufacturing specification (in mm) of 0.200 +/- .07. historical data indicates that if the quality characteristic takes on values greater than 0.27 or smaller than 0.13 the component fails at a cost of20.19. based on these data: determine the taguchi loss function (must show work) calculate an estimated loss for a quality characteristic of .30 calculate an estimated loss for quality characteristic of .40.