1) Suppose that the weight of navel oranges is normally distributed with mean μ = 8 ounces, and standard deviation δ = 1.5 ounces. A random sample of 15 oranges is taken. What is the probability that:
A) the average weight of oranges in the selected sample is more than 8.5 ounces?
B) the average weight of oranges in the sample is less than 7.7 ounces?
C) the average weight of an orange in the selected sample is between 7.5 and 8.5 ounces?
D) 85% of oranges are less than what weight?
E) What will be the average weight of the top 5% heaviest oranges?