Let X be a random variable with probability density function p(x) shown in the graph below. (a) Use the graph and Simpson's Rule with N = 4 to approximate P(0 < X < 4). 0.5 \P(x) 0.4 0.3 0.2 0.1 1 3 4 (b) If, instead, we had used the Trapezoid Rule with N = 4 to approximate P(0 < X < 4), would the result be an overestimate or an underestimate of P(0 < X < 4)? Briefly explain your answer using the graph of p(r).

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