1. A peach farmer has two different varieties (named Variety A and Variety B) of peach trees on her land. Twenty percent of her trees are Variety A peaches and the other 80% are Variety B peaches. The weights of Variety A peaches are normally distributed with a mean of 92 grams and a standard deviation of 8 grams. The weights of Variety B peaches are normally distributed with a mean of 103 grams and a standard deviation of 13 grams.
   1. What proportion of Variety A peaches weigh between 100 and 110 grams? (2pt)
   2. What weight of a Variety B peach corresponds to the third quartile of the distribution? (2pt)
   3. Overall, what proportion of her peaches weigh less than 100 grams? (4pt)
   4. If you randomly select a peach that weighs more than 100 grams, what is the probability that it was a Variety A peach? (4pts)