Question: 1. (Triangular distribution) Let a 1. (Triangular distribution) Let a 0. ( f increases linearly over [a,m] from 0 to K; and it decreases linearly

1. (Triangular distribution) Let a

1. (Triangular distribution) Let a0. ( f increases linearly over [a,m] from 0 to K; and it decreases linearly over [m,b] from K to 0 .) (i) Determine K (as a function of a,m,b ) from equation (3.8). (ii) Determine the CDF associated to f; for simplicity keep K as is - do not substitute the expression from (i). Plot the function f and the associated CDF, separately and carefully enough to reveal their shape, showing in each case the function values at the points a,m, and b

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