An order for an automobile can specify either an automatic or a standard transmission, either with or without air conditioning, and with any one of the four colors red, blue, black, or white. describe the set of possible orders for this experiment.

Attached file describes the set of 16 possible orders for this experiment

Step-by-step explanation:

Please see attached file for tree diagram

We have to build a tree diagram to represent this solution.

At level 1 we have 2 options: automatic transmission or standard transmission

At level 2, each of the 2 level-1 options split into 2 new options: with air conditioning and without air conditioning. Therefore, at this level, we have 2 x 2 = 4 options.

And, at level 3, each of the 4 level-2 options split into 4 new color options: red, blue, black or white. Therefore, at this final level, we have 4 x 4 = 16 possible orders

Please see the attached tree diagram for a better description of this set of 16 possible orders

step-by-step explanation:

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step-by-step explanation:

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