1)The annual per capita consumption of fresh bananas(in pounds) in the United States can be approximated by the normaldistribution, with a mean of 10.3 pounds and a standard deviation of 1 pound. Answer the following questions about the specified normal distribution.

(a) What is the smallest annual per capita consumption of bananas that can be in the top 10% ofconsumptions?

(b) What is the largest annual per capita consumption of bananas that can be in the bottom 5% of consumption?

2)A vending machine dispenses coffee into asixteen-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.06 ounce. You can allow the cup to overfill 2% of the time. What amount should you set as the mean amount of coffee to bedispensed?