1. If events A and B are independent, will be greater than, less than, or equal to P(A)? Explain.

2. A study by the U.S. Energy Information Administration found that 84.3% of U.S. households with incomes under $10,000 did not own a dishwasher while only 21.8% of those in the over-$50,000 income range did not own a completed college.

For H completed high school, C completed college, and assuming that one must complete high school before completing college, construct a tree diagram to assist your calculation of the following probabilities for an employed U.S. adult:
a. P(H)

b. P(C|H)

c. P(H and C)

d. P(H and C')