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Your clothes drawer has only red socks and black socks. There are N socks in you

ID: 3271947 • Letter: Y

Question

Your clothes drawer has only red socks and black socks. There are N socks in your drawer. You don't know N. You do know that if you pick two socks, with OUT replacement, then the probability of getting two red socks1/2. What is the smallest N could be? You work for a car insurance company. You have 3 kinds of clients: high risk, medium risk, low risk 10% are high risk: 15% are medium risk, 75% are low risk. In a given year: 2% of high-risk clients file a claim 1% of medium-risk clients file a claim 0.25% of low-risk clients file a claim What percentage of claims come from high-risk clients? You have n coins. f of them are fair, and b are biased so that they land on heads with probability 2/3. Pick a coin at random (equally likely to pick any), and toss it twice. the first time it lands on heads: the second time it lands on tails. What is the probability that the coin is fair? An airplane has disappeared into the ocean. You help look for it. You assume the airplane is in one of three areas, 1, 2, and 3 the probability that the airplane is in area i is r_i (so r_1 + r_2 + r_3 = 1) if (a) you look in area i, and if (b) the plane is in area i, then you will find the plane with probability p_i. You might look for it, but not find it........... Assume the pi's and r_j's are known quantities. You looked in area 1 but you didn't find it. Given this information, what's the probability the plane is in area 2? If you liked this problem, take a look at https: //arxiv.org/pdf/1405. 4720. pdf You probably have a cell phone. (If you don't, ask a friend who does.) You can text on it. When you start to write your text, your phone gives "suggestions" for what the next word might be. For example, I often text my wife, and after I write "Do you" my phone often suggests "want, a, ride". But if I write "Have a" it often suggests "good, day". How does this work? Answer format: one paragraph, complete sentences, illustrated with examples. You work for a bank. Your job is to decide whether or not to loan people money. Some loans you have made are "good". Some are "bad"-they can't repay the loan. You assume (i) the probability of one of your loans being bad is 1/100, and (ii) the set of events that one of your loans is bad are mutually independent. You've just discovered that 11 of your loans are bad. Does this fact make you question your assumptions? If so, which one? Or both? Discuss. Answer format: one paragraph, complete sentences, illustrated with examples.

Explanation / Answer

It appears from the description of the cell phone text recommender system that it might be a either a Naive Bayes recommender system or a Association Rule mining (ARM) system (based on the apriori algorithm).

In ARM approach, given the current basket content, the task is recommendation of the best next product. Here, the basket contains the words typed thus far. Hence, based on historical preferences of the user, or texts, the ARM is making the prediction of the next set of words based on apriori algorithm.

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