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1. You roll two four-sided dice. Here are two random variables.Random variable A is the absolute L difference of the two numbers shown. So
1. You roll two four-sided dice. Here are two random variables.Random variable A is the absolute L difference of the two numbers shown. So if the first die shows 3 and the second shows 4, the random variable has value 1.Random variable B is the sum of the two numbers shown. So if the first die shows 3and the other shows 4, the random variable has value 7.Do the problems below in Excel.Hint: begin by creating a table. This table will have the following columns: 2. Column 1: What does the first die show (The rows would be 1, 1, 1, 1, 2, 2, 2, 2,...) 3. Column 2: What does the second die show (1, 2, 3, 4, 1, 2, 3, 4, ...) 4. Column 3: What is the probability of this combination? 5. Column 4: What is the value of random variable A (0, 1, ...) 6. Column 5: What is the value of random variable B (2, 3, ...) (a) What are the possible values of each of the random variables? b) What are the probabilities of these possible values? c)What is the expected value of each of the random variables? d.)What is the variance of each of the random variables? (e) What is the covariance between the random variables?Be careful when working out the covariances, you will need to go back to the "experiment" that generated the randomness.]
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