Answer to Question #342781 in Statistics and Probability for Zain

Question

Usman rolls two dice colored purple and yellow simultaneously. The random variables X and Y are

defined as follows:

X = The number showing on the purple die.

Y = The number of dice that show the number six.

For example, if the purple and yellow dice show the numbers 6 and 4, then X = 6 and Y = 1.

a. Write down a table showing the joint probability mass function for X and Y.

b. Find the marginal distribution for X and Y.

c. Compute E(X) and E(Y).

d. Find the covariance of X and Y.

e. Find the correlation coefficient of X and Y.

Answer 1

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