Assume you have the following data points:1, 3, 4, 5, 10and you execute the k-means algorithm to cluster the data with k=2.If 1 is the first cluster centroid and 4 the second cluster centroid, then what will be the final cluster memberships after the k-means algorithm finishes?

Video recordings are an example of unstructured data.

The following questions test your knowledge of the concept of adverse selection.  a. In adverse selection models, different individuals have different probabilities of falling ill. Why can’t the insurer set premiums proportionately to this probability of illness, e.g. high premium plans to frail individuals, low premium plans to healthy individuals? b. Consider two people with the same risk aversion. Is a person with higher probability of illness willing to pay more or less for insurance?  c. Consider two people with the same probability of illness. Is a person with higher risk aversion willing to pay more or less for insurance?   d. Suppose everyone has the same level of risk aversion. What will be the shape of the marginal cost faced by the insurer?  e. Suppose everyone has varying levels of risk aversion. Under what condition will the marginal cost curve faced by the insurer be upward sloping? 

For the following question(s), consider the following equation. 2Mg + O2 → 2MgOHow many grams of magnesium are needed to react with 16 g of O2?

James Cook died on which of the following islands?

When Cook was called out of retirement, he was asked to find which of the following fabled locations?

In the 18th century, scurvy killed more men than war, accidents, and shipwrecks combined.

Cook’s maps of Canada were so outstanding, he was appointed King Surveyor of Newfoundland.

After 1880, Angola was ruled by

The Romanov Empire comprised roughly 1/6 of the globe.