One method for increasing sales of boxes of cereal is to suggest to children that they complete a "set" of small toys. Suppose one of a set of five toys is put in every box. Using one strategy the company could put a randomly selected toy in each box of cereal. Then each toy would appear in 20% of the boxes. You are to design a simulation that will assess this strategy and the likely number of boxes of cereal needed to complete the set of toys.
a)To simulate this strategy, assign digits to the toys that will result in the probability of selection of each toy to be 0.20.
Toy 1 Digits:
Toy 2 Digits:
Toy 3 Digits:
Toy 4 Digits:
Toy 5 Digits:
b)Describe how you would use a random digit table to conduct one run of your simulation, where one run continues until a complete set of the 5 toys is acquired.
d)Suppose that the cereal company decides to put the toys in the boxes with different probabilities. Toy 1 will be put in 30% of the boxes, Toys 2 and 3 will be put in 20% of the boxes, and Toys 4 and 5 will be put in 15% of the boxes. Assign digits to the toys that will simulate these probabilities.
Toy 1 Digits:
Toy 2 Digits:
Toy 3 Digits:
Toy 4 Digits:
Toy 5 Digits:
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