2. The graph below shows a function f(x) = cx(x -b) . Find the value of c so that the shaded blue area is equal to 1. Note that choosing the values of the parameters so that the area under the curve is 1 means that we can use this function, restricted to the appropriate domain, as a probability density function. After finding the value of c, use it to find the probability that a random variable with this density function lies between 0 and . What do you notice about your answer? https://www. desmos. com/calculator/ x1t218buqe 3. Given F'(x) = f(x), evaluate / x3f(2x4) dx. You may need to use F(x) and/or f (x) in your answer. .b+k 4. If /f(x) dx = c, what does f(x-k) dx equal? https://www. desmos. com/calculator/wojuezskoo atk 5. If f(x) dac = c, what does f(kx) dx equal? https://www. desmos . com/calculator/opwapxgybc