Suppose That Random Observations Are Needed from the Triangular Distribution

Essay

Suppose that random observations are needed from the triangular distribution whose probability density function is (a)Derive an expression for each random observation as a function of the uniform random number r.(b)Generate five random observations for this distribution by using the following uniform random numbers: 0.0956,0.5629,0.6695,0.7634,0.8426.(c)The inverse transformation method was applied to generate the following three random observations from this distribution: 0.09,0.64,0.49.Identify the three uniform random numbers that were used.d)Write an equation that Excel can use to generate each random observation from this distribution.