Question

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.

Answer 1

Answer:

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;

• All the probability values in the distribution must be positive.
• Sum of all Probability values must be equal to 1.

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