Consider the following training corpus of emails with the class labels ham and spam. The content of each email has already been processed and is provided as a bag of words. Email1 (spam): buy car Nigeria profit Email2 (spam): money profit home bank Email3 (spam): Nigeria bank check wire Email4 (ham): money bank home car Email5 (ham): home Nigeria fly Based on this data, estimate the prior probability for a random email to be spam or ham if we don't know anything about its content, i. e. P(Class)? Based on this data, estimate the conditional probability distributions for each word given the class, i. e. P(Word | Class). You can write down these distributions in a table Using the Naive Bayes' approach and your probability estimates, what is the predicted class label for each of the following emails? Show your calculation. o Nigeria Nigeria home o home bank money

Show that there is a language a ⚆ {0, 1} â— with the following properties: 1. for all x â a, |x| ≤ 5. 2. no dfa with fewer than 9 states recognizes a. hint: you don’t have to define a explicitly; just show that it has to exist. count the number of languages satisfying (1) and the number of dfas satisfying (2), and argue that there aren’t enough dfas to recognize all those languages. to count the number of languages satisfying (1), think about writing down all the strings of length at most 5, and then to define such a language, you have to make a binary decision for each string about whether to include it in the language or not. how many ways are there to make these choices? to count the number of dfas satisfying (2), consider that a dfa behaves identically even if you rename all the states, so you can assume without loss of generality that any dfa with k states has the state set {q1, q2, . . , qk}. now think about how to count how many ways there are to choose the other four parts of the dfa.

If you want to delete an entire word at a time, which key should you press along with the backspace or delete key?

Which career involves analyzing various factors that influence the customer decision-making process? analyze various factors that influence the customer decision-making processes. reset next