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please i need help with this question with explantation A marketing firm has categorized customers of an online shopping site into 2 types, based on

please i need help with this question with explantation

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A marketing firm has categorized customers of an online shopping site into 2 types, based on their scrolling and clicking patterns. Everyone starts scrolling, but then: . Impulsive customers: If they've just scrolled, they click with probability 0.8. If they've just clicked, they go back to scrolling with probability 0.5. . Deliberate customers: If they've just scrolled, they keep scrolling with proba- bility 0.8. If they've just clicked, they go back to scrolling with probability 0.5. When new customers arrive, to help them better or to target ads, the website wants to know whether they are more likely to be impulsive or deliberate. Note that this maximum likelihood estimator is the same as the MAP estimator: arg max P (O = type) P (X1, X2, ..., Xn | O = type) , type when the prior is uniform, i.e. P (O = Impulsive) = P (O = Deliberate) = =. What type would you estimate each of the following customers to be? (a) Scroll, Click, Scroll, Click, Scroll, Click, Click (b) Scroll, Scroll, Scroll, Scroll, Scroll, Scroll, Click (c) Scroll, Scroll, Click, Click, Scroll, Scroll, Click

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