An Ann Arbor autumn lover is curious about what proportions of Michigan residents participate in certain fall activities. Suppose they discover the following information:

• 60% of Michigan residents will visit a cider mill this fall.
• 40% of Michigan residents will carve a pumpkin this fall.
• Among the Michigan residents that carve a pumpkin, half of them will visit a cider mill.

1.) Are the events "cider mill: visiting a cider mill" and "pumpkin: carving a pumpkin" independent?

a.) Yes, because P(cider mill and pumpkin) equals P(cider mill)*P(pumpkin)

b.) Yes, because P(pumpkin | cider mill) equals P(pumpkin)

c.) No, because P(cider mill | pumpkin) does not equal P(cider mill)

d.) No, because P(cider mill and pumpkin) does not equal P(cider mill)

2.) What is the probability that a Michigan resident will visit a cider mill or carve a pumpkin this fall?for questions that involve calculations or derivations, you must show the setup of the problem. Your solutions must include formulas and numerical computations.