Let X and Y represent the number of Dell and HP laptop computers, respectively, sold per month from online sites. The file S04_28.xlsx contains the probabilities of various combinations of monthly sales volumes of these competitors.
a. Find the marginal distributions of X and Y. Interpret your findings.
b. Calculate the expected monthly laptop computer sales volumes for Dell and HP at these sites.
c. Calculate the standard deviations of the monthly laptop computer sales volumes for Dell and HP at these sites.
d. Find and interpret the conditional distribution of X given Y.
e. Find and interpret the conditional distribution of Y given X.
f. Find and interpret the correlation between X and Y. Are these random variables independent (or nearly so)?