An ice cream company needs to order ingradients from its supplier. Depending on the size of the order, the weight of the shipment can be either
1 kg for a small order,
2 kg for a big order.
The company has three different suppliers. The vanilla supplier is 20 miles away. The chocolate supplier is 100 miles away. The strawberry supplier is 300 miles away. An experiment consists of monitoring an order and observing W, the weight of the order, and D, the distance the shipment must be scribes the experiment:

(a) What is the joint PMF PW,D(w,d) of the weight and the distance?
(b) Find the expected shipping distance E[D].
(c) Are W and D independent?

Transcribed Image Text:

van. choc. straw small 0.2 0.2 0.2 big 0.1 0.2 0.1