(10) A fair die is rolled and the random variable X is defined to be: • twice the number showing on the top face if it i

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10 A Fair Die Is Rolled And The Random Variable X Is Defined To Be Twice The Number Showing On The Top Face If It I 1 (56.14 KiB) Viewed 28 times

(10) A fair die is rolled and the random variable X is defined to be: • twice the number showing on the top face if it is odd, and • one-half the number showing on the top face if it is even. (a) Complete the following table. Outcome 1 2 3 4 5 6 Random Variable, I; (b) Determine the probability distribution. [Fill in the table.] Random Variable, i Probability, Pi (c) Compute the expected value, E(X). [Do not simplify.] (d) Draw the histogram. (e) Consider the collection of numbers: 6,2,1,0,3,2, 8, 9,5. (i) What is the median? (ii) What is the mode? (iii) Given the mean, u = 4 and the probability, pi = , de- termine the variance. [Do not simplify.]