A grocery store procures 4% of its eggs from Farm-H. Suppose 10% of the eggs that Farm-H supplies are rotten. And 5% of the eggs not obtained from Farm-H are rotten.

a. Draw the probability tree, and indicate the known probabilities in it.
b. What is the probability that a randomly selected egg is from Farm-H and rotten? Write the probability statement and show your steps in calculating the probability.
c. What is the probability that a randomly selected egg is rotten? Write the probability statement and show your steps in calculating the probability.
d. What is the probability that a randomly selected rotten egg is from Farm-H? Write the probability