Dreamland has its own factory in manufacturing pillows. It manufactures two types of pillows—

polyester pillows and memory foam pillows.

Dreamland distributes its pillows to hospitals, hotels, and department stores. The following are the number of distributions made in a day:

Pillow Type Hospitals Hotels Department Stores Polyester pillows 42 74 154 Memory foam pillows 34 21 131

a. What is the probability that pillows were sent to hotels?

b. What is the probability that memory foam pillows were sent to department stores?

c. A polyester pillow was sent out; what is the probability it was sent to a hospital?

d. Determine whether the pillow types are independent from the places they are sending to.