5.6.1 An ice cream company needs to or- der ingredients from its suppliers. Depend- ing 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

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Probability and Stochastic Process es
5.6.1 An ice cream company needs to or-
der ingredients from its suppliers. Depend-
ing on the size of the order, the weight of
the shipment can be eit her
1 kg for a small order,
2 kg for a big order.
The
has three different suppliers.
compalhy
The vanilla supplier is 20 miles away. The
chocolate supplier is 100 miles awaV The
Transcribed Image Text:5.6.1 An ice cream company needs to or- der ingredients from its suppliers. Depend- ing on the size of the order, the weight of the shipment can be eit her 1 kg for a small order, 2 kg for a big order. The has three different suppliers. compalhy The vanilla supplier is 20 miles away. The chocolate supplier is 100 miles awaV 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
sent. The following probability model de-
scribes the experiment:
ran-
van. choc. straw.
0.2
0.2
0.1
0.2
small | 0.2
big
0.1
(a) What is the joint PMIF P« D(w, d) of
the weight and the distance?
= 1.
(b) Find the expected shipping distance
ED
(c) Are W and D independent?
1.
have
Transcribed Image Text: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 sent. The following probability model de- scribes the experiment: ran- van. choc. straw. 0.2 0.2 0.1 0.2 small | 0.2 big 0.1 (a) What is the joint PMIF P« D(w, d) of the weight and the distance? = 1. (b) Find the expected shipping distance ED (c) Are W and D independent? 1. have
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