1) Doggie Nuggets Inc.(DNI) sells large bags of dog food to warehouse clubs. DNI uses an automatic filling process to fill the bags. Weights of the filled bags are approximately normally distributed with a mean of

63kilograms and a standard deviation of1.19kilograms

a. What is the probability that a filled bag will weigh less than61.2 kilo

b. What is the probability that a randomly sampled filled bag will weigh between58.8and62.4

kilograms?

c. What is the minimum weight a bag of dog food could be and remain in the top8% of all bagsfilled?

d. DNI is unable to adjust the mean of the filling process.However, it is able to adjust the standard deviation of the filling process. What would the standard deviation need to be so that no more than

3% of all filled bags weigh more than67 kilograms?

2) Parts and materials for skis made by Company C are supplied by two suppliers. SupplierA's materials make up40% of what isused, with Supplier B providing the rest. Past records indicate that12% of SupplierA's materials are defective and9% of SupplierB's materials are defective. Since it is impossible to tell which supplier the materials came from once they are ininventory, the manager wants to know which supplier more likely supplied the defective materials the supervisor has brought to his attention. Provide the manager this information.

It is more likely that __(Supplier A or B)__ supplied the defective materials, because the probability that this supplier supplied the defective materials is _____

3) An urn contains7blue balls and9yellow balls. If3 balls are selected randomly without beingreplaced, what is the probability that of the ballsselected,one of them will be blue and two of them will beyellow?