A point Y is chosen randomly from the interval (0, 1). Another point X is then chosen randomly from the interval (0, Y ). Find P(X ≤ a|Y = y) and E[X|Y = y].

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Q: iven function

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Q: 6) Find R100 for y = x³ on the interval [0,2]. Use four decimals.

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A: Redraw the figure as shown below.

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Q: Find the CDF of the distance of two randomly chosen points of the [0,6] interval. F(x) - if x6.

A: Given x~U(0,6)