Compute in Prob. 11 from the sample 1.9, 0.4, 0.7, 0.6, 1.4. Graph the sample distribution function F̂(x) and the distribution function F(x) of the random variable, with θ = θ̂, on the same axes. Do they agree reasonably well?

Data from Prob. 11

Find the maximum likelihood estimate of θ in the density f(x) = θe^-θx if x ≥ 0 and f(x) = 0 if x < 0.