Exx. 1 The probability density function of a one-parameter Weibull distribution is given by 2axe-ax? f(x) = (0, x > 0 otherwise a Using a sample of size n, obtain a method of moment estimate for a b. Assuming that the data below are from a one-parameter Weibull population, 1.87 1.60 2.36 1.12 0.15 1.83 0.64 1.53 0.73 2.26 Obtain a method of moment estimate for a

DHL usually gives its customer a 60-minute window in which it expects home deliveries to be delivered. An independent consultant estimates that the final delivery time within the window is a delivery that follows the following condensation function:a. Draw the density function of the event.  b. What is the expected value of the transaction? c. What is the variance of the event?

A scout on a camping trip is requested to find some dry sticks of length at most one metre to use as firewood. A model for the distribution of the lengths, X, in metres, of sticks that she brings back to the probability density function camp has f (x) =V, 0 < x < 1. %3D According to the model, what is the standard deviation of the lengths of the sticks that the scout brings back?