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Consider the density function f(x) = a(-x3+x2+x+2), 0

(a) First, determine a to make sure f(x) is a density function

(b) Compute the probability that x will be between 0 and 1

(c) Use R (programming) to plot f(x). Include code and figure.

This problem basically an exercise in calculus.

R programming code how to do it

Business Economics, Economics

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