function Let X and Y be two continuous random variables with jo.pdf

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function Let X and Y be two continuous random variables with joint probability density f(x,y)=x2lny,for1x<,1ye - Use the space on the right to shade the portion of the domain that corresponds to the region R={(x,y) in domain :xy}. - Express the probability P(XY) as an iterated integral both in the dxdy and in the dydx order. - Find P(XY) by computing your dxdy- integral..

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Frontal lobe : Plays a role in mood regulation, pain transmission, sleep, and arousal Thalamus : Middle portion of the brainstem Hypothalamus Amygdala : Layer of gray matter covering the cerebrum Medulla oblongata : Connects the brainstem to the spinal cord Pons : Superior portion of the brainstem Midbrain : Middle meningeal layer Cerebral cortex : Main gateway into the cerebral cortex Arachnoid mater : Most anterior lobe of the brain : Plays a role in behavior and emotion : Regulates the autonomic nervous system.

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Freelance reporter Irwin Fletcher is examining the historical voting records of members of the U.S. Congress. For 175 representatives, Irwin has collected th voting record (yes or no) on 16 pieces of legislation. To examine the relationship between representatives' votes on different issues, Irwin has conducted an association rules analysis with a minimum support of 40% and a minimum confidence of 90%. The data included the following bills: - Budget: approve federal budget resolution - Contras: aid for Nicaraguan contra rebels - El_Salvador: aid to El Salvador - Missile: funding for MX missile program - Physician: freeze physician fees - Religious: equal access to all religious groups at schools - Satellite: ban on anti-satellite weapons testing The following table shows the top five rules with respect to lift ratio. The table displays representatives' decisions in a "bill-vote" format. For example, "Contras- y " indicates that the representative voted yes on a bill to support the Nicaraguan Contra rebels and "Physician- n" indicates a no freeze physician fees. (a) Interpret the lift ratio of the first rule in the table. The lift ratio of the first rule in the table means that it is % likely that a representative votes no on the EI Salvador bill given that he or she votes yes on the Contras bill, no on the Physician bill, and yes on the Satellite bill than a randomly seled representative. (b) What is the probability that a representative votes no on El Salvador aid given that they vote yes to aid to Nicaraguan Con tra the missile program? Round your answer to two decimal places. (c) What is the probability that a representative votes no on El Salvador aid given that they vote no to the M-X missile program and yes to equal access to religious groups in schools? Round your answer to two decimal places. (d) What is the probability that a randomly selected representative votes yes on El Salvador aid? Round your answer to three decimal places. % - Select your answer - more less.

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