A Muesli manufacturer has a new machine that fills the boxes. Boxes are labeled "650 g", so the company wants to have that much muesli in each box. But since this is a new machine, and no packaging process is perfect there will be minor deviations. The company believes that the amount of muesli in the boxes is normally distributed with standard deviation of 2.5g. Please show all your answers in the appropriate boxes. SI a) What is the probability of a random sample of 20 muesli boxes weighing an average of more than 652g? b) What is the weight of the top 4% of the boxes with muesli? c) What is the probability that a box of muesli will weigh between 652g and 646.25g? d) The amount of time to reset the new machine is uniformly distributed between 30 and 60 minutes. What is the probability that a technician will reset the machine between 35 and 40 minutes?

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