Question: Define a random variable _X : 0, 1 -> IR on the probability triple ( 0, 1], B |0, 1 , Leb by X(w) -

Define a random variable _X : 0, 1 -> IR on the probability triple ( 0, 1], B |0, 1 , Leb by X(w) - - logw if w - 0 and X(w) =0ifw = 0. Here "log" refers to the natural logarithm. Let fx : (0, oo) -> 0, co) be the probability density function of X that is also continuous function. What is fx (2.66)? Give your answer to four decimal places

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