1) * Suppose that the weight of navel oranges is normally distributed with mean µ = 8ounces, 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?

2) In a suburb family income has normal distribution with mean $6000 per month andstandard deviation of $3500. If a sample of 20 households is selected, what is the probabilitythat average of household income of sample is:

A) less than $5000?

B) Between $5500 and $5900

C) above 8500?D) 10% of families have an income less than what value?

E) 60% of families have an income above what value?