Step 1: Model 1 is legitimate. is not legitimate because one of the probabilitie

Question

Step 1:
Model 1

is legitimate.

is not legitimate because one of the probabilities is greater than 1.

is not legitimate because the sum of the probabilities does not equal 1.

Enter the number(s) of the choice(s) you wish to select. Separate multiple selections with commas or semicolons. Your selections:

Step 2:
Model 2

is legitimate.

is not legitimate because one of the probabilities is greater than 1.

is not legitimate because the sum of the probabilities does not equal 1.

Enter the number(s) of the choice(s) you wish to select. Separate multiple selections with commas or semicolons. Your selections:

Step 3:
Model 3

is legitimate.

is not legitimate because one of the probabilities is greater than 1.

is not legitimate because the sum of the probabilities does not equal 1.

Enter the number(s) of the choice(s) you wish to select. Separate multiple selections with commas or semicolons. Your selections

Step 4:
Model 4

is legitimate.

is not legitimate because one of the probabilities is greater than 1.

is not legitimate because the sum of the probabilities does not equal 1.

Enter the number(s) of the choice(s) you wish to select. Separate multiple selections with commas or semicolons. Your selections:

(12.12) Figure 12.3 displays several discrete probability models for rolling a die. We can learn which model is actually accurate for a particular die only by rolling the die many times. However, some of the models are not legitimate. That is, they do not obey the rules. Which are legitimate and which are not? In the case of the illegitimate models, explain what is wrong. Note that there may be more than one wrong thing in the illegitimate models.

Explanation / Answer

1) IN MODEL 1 THE PROBABILITY OF ALL 6 NUMBERS ARE EQUAL TO 1/7, AFTER ADDING THE 6 PROBABILITIES WE WILL GET THE TOTAL PROBABILITY EQUAL TO 6/7 WHICH IS NOT EQUAL TO 1. HENCE IT IS NOT LEGITIMATE. OPTION C IS CORRECT.

2)MODEL 2 HAVE THE PROBABILITIES DIFFERENT TO EACH NUMBER AND IT FOLLOW ALL THE RULES OF PROBABILITY . HENCE IT IS LEGITIMATED. OPTION A IS CORRECT.

3) MODEL 3 ALSO HAVE THE PROBABILITIES DIFFERENT TO EACH NUMBERS AND THE ADDITION OF PROBABILITY IS GREATER THEN 1 WHICH IS AGAINST THE RULE OF PROBABILITY. HENCE IT IS NOT LEGITIMATE. OPTION 2 IS CORRECT

4) MODEL 4 HAVE THE PROBABILITY WHICH ARE NOT POSSIBLE TO EACH NUMBER, PROBABILITY OF ANY EVENT CANNOT BE EQUAL TO MORE THEN 1 BUT THE ADDITION OF PROBABILITYIES GIVEN IS MORE THEN 1. HENCE IT IS NOT LEGITIMATE AND THE OPTION B IS CORRECT.

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