12.14- How Many Cups of Coffee? Choose an adult age 18 or over in the United States at random and ask, "How many cups of coffee do you drink on average per day?" Call the response X for short. Based on a large sample survey, here is a probability model for the answer you will get:

Number 0 1 2 3 4 or more

Probability 0.36 0.26 0.19 0.08 0.11

Verify that thisi is valid finite probability model.

Yes, the given model is a valid finite probability model.

Step-by-step explanation:

We are given the following probability model below;

             Number                        Probability    

                  0                                 0.36

                  1                                  0.26

                  2                                 0.19

                  3                                 0.08

                  4 or more                   0.11        

                  Total                             1          

Now, for any probability distribution to be valid, there are two conditions;

Since, in the above model both these conditions are fulfilled, so we can say that this is a valid finite probability model.

the answer

b. they are parallel and will never intersect.

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step-by-step explanation: