Retail stores, such as Target and Walmart, along with eCommerce sites, such as Amazon and eBay, rely heavily on the holiday shopping period of October, November, and December to drive their overall revenue. In recent years, these types of retailers have coupled big data with time series analytics to enhance marketing, supply chain, operations, and customer relations.

Using the Internet, identify an example of where a retail company has done this. The example could be positive or negative, but should clearly include evidence that the company used big data and time-series analytics in an effort to improve its revenue. If the example you find does not discuss the use of analytics, then it is not considered. The example selected must show that the company used analytics to magnify its business effectiveness through data and analytics activities. Provide a summary of the example you have chosen. Specifically, discuss the analytic techniques the company used and what they intended to accomplish through their data-driven activities. Report on the company's success in its endeavors. If there are negative aspects of their efforts, be sure to highlight those (examples might include errors in their analysis or forecasts, or backlash from consumers for some reason).

Consider a bivariate normal posterior distribution such that Where . O, and 2 ome unknown parameters of the model, while I is the known posterior correlation between o, and Question : How to use the properties of the multivariate momal distribution to get the conditional distribution below. Q il Q 2 , y N N IP O z , 1 - P ) ~ PD 2 + NI - P N ( O , 1 )2) GAUSSIAN DISTRIBUTION. a) [5] Write down an expression for a Gaussian distribution. Define each variable. b) [5] Modify the above expression to describe a normalized Gaussian (or simply, "normal") distribution. c) (i) [4] Calculate the value of a normal distribution at the mean.For each of the following transition matrices, determine whether the Markov chain with that transition matrix is regular: (1) Is the Markov chain whose transition matrix whose transition matrix is 1 0.3 regular? (Yes or No) (2) Is the Markov chain whose transition matrix whose transition matrix is 0.7 0.3 0 regular? (Yes or No) (3) Is the Markov chain whose transition matrix whose transition matrix is 0 0.7 0.3 0.3 0.7 O 0 1 regular? (Yes or No) (4) Is the Markov chain whose transition matrix whose transition matrix is 0.4 regular? (Yes or No) (5) Is the Markov chain whose transition matrix whose transition matrix is 0 0.5 regular? (Yes or No)