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Let X and Y be random variables. Their joint distribution is given by: y1 0.0 0.2 0.1 Y y2 0.05 0.1 0.35 y3 0.05 0.05 0.1 x1 x2 x3 X Compute the marginal distributions and . Are X and Y independent? How do you know?

You were asked to create a generative model that could create new samples resembling  the data in your training set. You decided to use a Gaussian Mixture Model to do so. Describe the steps you would take to train such a model, and then how this model could be used to create new samples.

What portion of the small intestine is the arrow pointing to?

My 3-year old son has one entire week to clean up his toys in his room otherwise he won’t get a treat after his dinner. How many seconds does he have to clean up his room?

Which analysis is built on the document term matrix?

1) What’s the definition of average engagement rate? 2) Select a social media platform that you are most familiar with. How would you calculate the average engagement rate for each message?  3) Please propose an analysis you can do with the average engagement rate? 

Which of the following statement on the Hokey Pokey’s incentive system is FALSE?

Which of the following statement about the betweenness centrality score is TRUE? 

Which of the following analysis is NOT part of social media analytics?

The analyst observed daily count of number of tweets that mentioned her new product and she applied the following bass model to predict the future # of tweet. Here is her lines of codes. temp = diffusion(tab$Daily_count[1:60])pred = predict(temp, 24) 1) Please explain these two lines of code. Please be brief 2) What does p capture when we apply bass model to study social media data?  3) What does q capture when we apply bass model to study social media data?  bass model Parameters:                                 Estimate p-value p – Coefficient of innovation     0.008      NA q – Coefficient of imitation      0.001      NA m – Market potential          35175.1875      N sigma: 45.3753