In x², f(x, y) = ») - 0, -1 ≤x≤1, 0≤ y ≤ x² otherwise. Let the event A = {Y ≤ 0.36}. Find the conditional PDF (and the range) of Y given A and the expected value of Y given A. Please provide the solution step by step.

If P(B) = ² and P(A'^B) = 12, for two events A and B, find P(A/B).

Please show all work when answering this question. This is an ungraded question that is used for review so please help. This question refers to probability

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To test compliance with authority, a classical experiment in social psychology requires subjects to administer increasingly painful electric shocks to seemingly helpless victims who agonize in an adjacent room.* Each subject earns a score between 0 and 30, depending on the point at which the subject refuses to comply with authority—an investigator, dressed in a white lab coat, who orders the administration of increasingly intense shocks. A score of 0 signifies the subject's unwillingness to comply at the very outset, and a score of 30 signifies the subject's willingness to comply completely with the experimenter's orders.   Ignore the very real ethical issues raised by this type of experiment, and assume that you want to study the effect of a “committee atmosphere” on compliance with authority. In one condition, shocks are administered only after an affirmative decision by the committee, consisting of one real subject and two associates of the investigator, who act as subjects but, in…

The subsets of {1,2} are Φ, {1}, {2} and {1,2}. So there are four possible potential models when deciding on a regression with a choice of inputs from a dataset containing two potential input variables. Your friend tells you this is nonsense and there are three possible models because the empty set Φ is just an imaginary concept concocted by some mathematician. What should you say to your friend?     You should explain that the empty set corresponds to the model y = β + ε, where β is some constant and ε is a residual term. In this model, the output predictions are always equal to the output's sample average.     You should explain that the empty set corresponds to the model y = ε, where ε is a residual term. In this model, the output predictions are totally random.     You should indeed agree. Your friend is spot on and one cannot have a regression with no input variables.     You should partially agree. Your friend is spot on that there are three models and not…

critical value and p value are wrong. please fix that!!

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