Unformatted text preview: values near the minimum and maximum are less apt to occur than those near the most likely value. The following are the general Triangular density function, together with the expected value and the variance for a Triangular random variable X (a, c, b): f(x) = 2(x-a) / [(b-a)(c-a)], for a ≤ x ≤ c f(x) = 2(b-x) / [(b-a)(b-a)], for c ≤ x ≤ b E(X) = (a + b + c) / 3 Var(X) = (a 2 + b 2 + c 2- ab - ac - bc) / 18 The following is a Triangular density function with parameters (a = 0, c = 0.25, a = 1): A Triangular Density Function Application: Given X is distributed as above, compute the tails probability P (X ≤ 0.1 OR X ≥ 0.9)....
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- Spring '08
- probability density function, triangular density function