Consider the continuous random variables x and y, whose distributions p(x) and q(y) are plotted below: p(x) q(y) 1 3 4 5 6 y (a) Find the probability that 2 < x≤ 3. (b) Assume that the value of q(y) for 2 < y < 4 is twice as large as that of q(y) for 4 < y < 5. What is the median of y? I.e., for what value y* is the probability that y≤ y precisely 0.5?

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