Question: Suppose X is a random variable, uniformly distributed on [0, 1]. That is, the probability density function (pdf) of X is given by, fx

Suppose X is a random variable, uniformly distributed on [0, 1]. That

Suppose X is a random variable, uniformly distributed on [0, 1]. That is, the probability density function (pdf) of X is given by, fx (t) = 0. 1, if te [0,1], if t [0, 1]. Let Y = 0 X, where 0 is a constant such that 0 > 2. (a) Find fy (t), the pdf of Y (possibly in terms of 0). (b) Compute the probability of the event {Y 1

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