1. You roll two dice. What is the probability of rolling a sum of 8 or more? 2. If there are 2 blue, 5 yellow, and 3 white marbles in a bag, what is the probability of pulling a blue marble from the bag?

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.