Question: ii. Let X be a continnoa random variable with probability density function, 2:: i} E :1: 11'. 1 fX {I} _ { 0 otherwise We

 ii. Let X be a continnoa random variable with probability density

ii. Let X be a continnoa random variable with probability density function, 2:: i} E :1: 11'. 1 fX {I} _ { 0 otherwise We know that, given X = I, the random variable Y is uniformly distributed on [$,:t']. {:51} Find the joint probability density function of (X, 1"), 3' 1y {:t', y}. (5 points) {13} Find x (3;). (5 points)

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