Question: It is known that 20 percent of all farms in a state exceed 160 acres and that 60 percent of all farms in that state are owned by persons over 50 years old. Of all farms in the state exceeding 160 acres, 55 percent are owned by persons over 50 years old.

[A] What is the probability that a farm in this state, owned by a person over 50 years old, exceeds 160 acres?

[B] Are size of farm and age of owner in this state statistically independent?

[C] What is the probability that a randomly chosen farm in this state both exceeds 160 acres and is owned by a person over fifty years old?

[D] What is the probability that a farm in this state either is bigger than 160 acres or is owned by a  person over fifty years old [or both]?